408728510400 has 672 divisors, whose sum is σ = 1606048063488. Its totient is φ = 88977715200.

The previous prime is 408728510383. The next prime is 408728510417. The reversal of 408728510400 is 4015827804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408728510383) and next prime (408728510417).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203245395 + ... + 203247405.

Almost surely, 2^408728510400 is an apocalyptic number.

408728510400 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 408728510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803024031744).

408728510400 is an abundant number, since it is smaller than the sum of its proper divisors (1197319553088).

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

408728510400 is a wasteful number, since it uses less digits than its factorization.

408728510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 408728510400 in words is "four hundred eight billion, seven hundred twenty-eight million, five hundred ten thousand, four hundred".