252652478400 has 420 divisors, whose sum is σ = 1061360333968. Its totient is φ = 57748930560.

The previous prime is 252652478369. The next prime is 252652478467. The reversal of 252652478400 is 4874256252.

252652478400 is a `hidden beast` number, since 2 + 52 + 6 + 524 + 78 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 767952 + ... + 1046448.

Almost surely, 2^252652478400 is an apocalyptic number.

252652478400 is a gapful number since it is divisible by the number (20) 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 252652478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530680166984).

252652478400 is an abundant number, since it is smaller than the sum of its proper divisors (808707855568).

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

252652478400 is a wasteful number, since it uses less digits than its factorization.

252652478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278538 (or 278514 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 252652478400 in words is "two hundred fifty-two billion, six hundred fifty-two million, four hundred seventy-eight thousand, four hundred".