408957120 has 448 divisors, whose sum is σ = 1700052480. Its totient is φ = 91238400.

The previous prime is 408957097. The next prime is 408957137. The reversal of 408957120 is 21759804.

408957120 is a `hidden beast` number, since 4 + 0 + 89 + 571 + 2 + 0 = 666.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235355 + ... + 1235685.

It is an arithmetic number, because the mean of its divisors is an integer number (3794760).

Almost surely, 2^408957120 is an apocalyptic number.

408957120 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 408957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850026240).

408957120 is an abundant number, since it is smaller than the sum of its proper divisors (1291095360).

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

408957120 is a wasteful number, since it uses less digits than its factorization.

408957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 408957120 is about 20222.6882485984. The cubic root of 408957120 is about 742.2654702603.

The spelling of 408957120 in words is "four hundred eight million, nine hundred fifty-seven thousand, one hundred twenty".