408625920 has 216 divisors, whose sum is σ = 1434888000. Its totient is φ = 107347968.

The previous prime is 408625907. The next prime is 408625933. The reversal of 408625920 is 29526804.

It is a happy number.

408625920 is a `hidden beast` number, since 4 + 0 + 8 + 62 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (408625907) and next prime (408625933).

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 23 ways as a sum of consecutive naturals, for example, 909856 + ... + 910304.

It is an arithmetic number, because the mean of its divisors is an integer number (6643000).

Almost surely, 2^408625920 is an apocalyptic number.

408625920 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 408625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717444000).

408625920 is an abundant number, since it is smaller than the sum of its proper divisors (1026262080).

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

408625920 is a wasteful number, since it uses less digits than its factorization.

408625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 408625920 is about 20214.4977676914. The cubic root of 408625920 is about 742.0650379029.

The spelling of 408625920 in words is "four hundred eight million, six hundred twenty-five thousand, nine hundred twenty".