20457284400 has 1440 divisors, whose sum is σ = 92551219200. Its totient is φ = 4267468800.

The previous prime is 20457284399. The next prime is 20457284411. The reversal of 20457284400 is 448275402.

20457284400 is a `hidden beast` number, since 2 + 0 + 4 + 572 + 84 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 475750779 + ... + 475750821.

It is an arithmetic number, because the mean of its divisors is an integer number (64271680).

Almost surely, 2^20457284400 is an apocalyptic number.

20457284400 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 20457284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46275609600).

20457284400 is an abundant number, since it is smaller than the sum of its proper divisors (72093934800).

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

20457284400 is a wasteful number, since it uses less digits than its factorization.

20457284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20457284400 in words is "twenty billion, four hundred fifty-seven million, two hundred eighty-four thousand, four hundred".