374880 has 96 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 89600.

The previous prime is 374879. The next prime is 374887. The reversal of 374880 is 88473.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5245 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2³⁷⁴⁸⁸⁰ is an apocalyptic number.

374880 is a gapful number since it is divisible by the number (30) 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 374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

374880 is an abundant number, since it is smaller than the sum of its proper divisors (931488).

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

374880 is a wasteful number, since it uses less digits than its factorization.

374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 374880 is about 612.2744482665. The cubic root of 374880 is about 72.1047856970.

It can be divided in two parts, 3748 and 80, that added together give a triangular number (3828 = T₈₇).

The spelling of 374880 in words is "three hundred seventy-four thousand, eight hundred eighty".