874552474400 has 864 divisors, whose sum is σ = 2654925698880. Its totient is φ = 279311155200.

The previous prime is 874552474379. The next prime is 874552474423. The reversal of 874552474400 is 4474255478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2595111032 + ... + 2595111368.

It is an arithmetic number, because the mean of its divisors is an integer number (3072830670).

Almost surely, 2^874552474400 is an apocalyptic number.

874552474400 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 874552474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327462849440).

874552474400 is an abundant number, since it is smaller than the sum of its proper divisors (1780373224480).

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

874552474400 is a wasteful number, since it uses less digits than its factorization.

874552474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 50.

The spelling of 874552474400 in words is "eight hundred seventy-four billion, five hundred fifty-two million, four hundred seventy-four thousand, four hundred".