408427563600 has 1800 divisors, whose sum is σ = 1858761087480. Its totient is φ = 85279703040.

The previous prime is 408427563589. The next prime is 408427563653. The reversal of 408427563600 is 6365724804.

408427563600 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 2 + 7 + 5 + 636 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2908229184 + 405519334416 = 53928^2 + 636804^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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 359 ways as a sum of consecutive naturals, for example, 998600196 + ... + 998600604.

Almost surely, 2^408427563600 is an apocalyptic number.

408427563600 is a gapful number since it is divisible by the number (40) 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 408427563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929380543740).

408427563600 is an abundant number, since it is smaller than the sum of its proper divisors (1450333523880).

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

408427563600 is a wasteful number, since it uses less digits than its factorization.

408427563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 408427563600 in words is "four hundred eight billion, four hundred twenty-seven million, five hundred sixty-three thousand, six hundred".