874634400 has 216 divisors, whose sum is σ = 3101926464. Its totient is φ = 231897600.

The previous prime is 874634399. The next prime is 874634413. The reversal of 874634400 is 4436478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2383017 + ... + 2383383.

Almost surely, 2^874634400 is an apocalyptic number.

874634400 is a gapful number since it is divisible by the number (80) 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 874634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550963232).

874634400 is an abundant number, since it is smaller than the sum of its proper divisors (2227292064).

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

874634400 is a wasteful number, since it uses less digits than its factorization.

874634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 874634400 is about 29574.2185019317. The cubic root of 874634400 is about 956.3323599446.

The spelling of 874634400 in words is "eight hundred seventy-four million, six hundred thirty-four thousand, four hundred".