914400 has 108 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 241920.

The previous prime is 914371. The next prime is 914429. The reversal of 914400 is 4419.

It is an interprime number because it is at equal distance from previous prime (914371) and next prime (914429).

It is a super-2 number, since 2×914400² = 1672254720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 914400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7137 + ... + 7263.

2⁹¹⁴⁴⁰⁰ is an apocalyptic number.

914400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

914400 is an abundant number, since it is smaller than the sum of its proper divisors (2335392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

914400 is a wasteful number, since it uses less digits than its factorization.

914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 914400 is about 956.2426470306. The cubic root of 914400 is about 97.0611440055.

Adding to 914400 its reverse (4419), we get a palindrome (918819).

It can be divided in two parts, 9 and 14400, that multiplied together give a square (129600 = 360²).

The spelling of 914400 in words is "nine hundred fourteen thousand, four hundred".