427872974400 has 945 divisors, whose sum is σ = 1665181996401. Its totient is φ = 107757112320.

The previous prime is 427872974371. The next prime is 427872974411. The reversal of 427872974400 is 4479278724.

The square root of 427872974400 is 654120.

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

427872974400 is a `hidden beast` number, since 42 + 7 + 8 + 72 + 97 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154034270784 + 273838703616 = 392472^2 + 523296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5416113561 + ... + 5416113639.

Almost surely, 2^427872974400 is an apocalyptic number.

427872974400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

427872974400 is the 654120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427872974400

427872974400 is an abundant number, since it is smaller than the sum of its proper divisors (1237309022001).

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

427872974400 is an equidigital number, since it uses as much as digits as its factorization.

427872974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 427872974400 in words is "four hundred twenty-seven billion, eight hundred seventy-two million, nine hundred seventy-four thousand, four hundred".