20465456400 has 90 divisors (see below), whose sum is σ = 71020831050. Its totient is φ = 5457454080.

The previous prime is 20465456399. The next prime is 20465456413. The reversal of 20465456400 is 465456402.

20465456400 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 5 + 4 + 5 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6211961856 + 14253494544 = 78816^2 + 119388^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 2838825 + ... + 2846024.

It is an arithmetic number, because the mean of its divisors is an integer number (789120345).

Almost surely, 2^20465456400 is an apocalyptic number.

20465456400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20465456400 is an abundant number, since it is smaller than the sum of its proper divisors (50555374650).

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

20465456400 is a wasteful number, since it uses less digits than its factorization.

20465456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684873 (or 5684859 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 20465456400 in words is "twenty billion, four hundred sixty-five million, four hundred fifty-six thousand, four hundred".