252907953480 has 2048 divisors, whose sum is σ = 1198374912000. Its totient is φ = 45864714240.

The previous prime is 252907953437. The next prime is 252907953481. The reversal of 252907953480 is 84359709252.

252907953480 is a `hidden beast` number, since 2 + 5 + 2 + 90 + 79 + 5 + 3 + 480 = 666.

It is a super-2 number, since 2×252907953480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252907953481) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 984077512 + ... + 984077768.

It is an arithmetic number, because the mean of its divisors is an integer number (585144000).

Almost surely, 2^252907953480 is an apocalyptic number.

252907953480 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 252907953480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599187456000).

252907953480 is an abundant number, since it is smaller than the sum of its proper divisors (945466958520).

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

252907953480 is a wasteful number, since it uses less digits than its factorization.

252907953480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 252907953480 in words is "two hundred fifty-two billion, nine hundred seven million, nine hundred fifty-three thousand, four hundred eighty".