874976400 has 405 divisors, whose sum is σ = 3340590721. Its totient is φ = 212029440.

The previous prime is 874976387. The next prime is 874976411. The reversal of 874976400 is 4679478.

The square root of 874976400 is 29580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 285069456 + 589906944 = 16884^2 + 24288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30171586 + ... + 30171614.

Almost surely, 2^874976400 is an apocalyptic number.

874976400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

874976400 is the 29580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874976400

874976400 is an abundant number, since it is smaller than the sum of its proper divisors (2465614321).

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

874976400 is a wasteful number, since it uses less digits than its factorization.

874976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The cubic root of 874976400 is about 956.4569922278.

The spelling of 874976400 in words is "eight hundred seventy-four million, nine hundred seventy-six thousand, four hundred".