461252400 has 240 divisors, whose sum is σ = 1729246464. Its totient is φ = 102896640.

The previous prime is 461252377. The next prime is 461252413. The reversal of 461252400 is 4252164.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360562 + ... + 361838.

Almost surely, 2^461252400 is an apocalyptic number.

461252400 is a gapful number since it is divisible by the number (40) 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 461252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864623232).

461252400 is an abundant number, since it is smaller than the sum of its proper divisors (1267994064).

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

461252400 is a wasteful number, since it uses less digits than its factorization.

461252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 461252400 is about 21476.7874692655. The cubic root of 461252400 is about 772.6441954934.

The spelling of 461252400 in words is "four hundred sixty-one million, two hundred fifty-two thousand, four hundred".