60456974400 has 315 divisors, whose sum is σ = 222550472221. Its totient is φ = 16098255360.

The previous prime is 60456974381. The next prime is 60456974441. The reversal of 60456974400 is 447965406.

The square root of 60456974400 is 245880.

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

It can be written as a sum of positive squares in only one way, i.e., 21764510784 + 38692463616 = 147528^2 + 196704^2 .

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 polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88516459 + ... + 88517141.

Almost surely, 2^60456974400 is an apocalyptic number.

60456974400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60456974400 is the 245880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60456974400

60456974400 is an abundant number, since it is smaller than the sum of its proper divisors (162093497821).

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

60456974400 is an frugal number, since it uses more digits than its factorization.

60456974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 60456974400 in words is "sixty billion, four hundred fifty-six million, nine hundred seventy-four thousand, four hundred".