408265920 has 280 divisors, whose sum is σ = 1530553200. Its totient is φ = 103016448.

The previous prime is 408265909. The next prime is 408265927. The reversal of 408265920 is 29562804.

It is a happy number.

408265920 is a `hidden beast` number, since 40 + 8 + 26 + 592 + 0 = 666.

It is a super-2 number, since 2×408265920² = 333362122866892800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (408265927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492066 + ... + 492894.

Almost surely, 2^408265920 is an apocalyptic number.

408265920 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 408265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765276600).

408265920 is an abundant number, since it is smaller than the sum of its proper divisors (1122287280).

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

408265920 is a wasteful number, since it uses less digits than its factorization.

408265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 858 counting only the distinct ones).

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

The square root of 408265920 is about 20205.5913053788. The cubic root of 408265920 is about 741.8470537677.

The spelling of 408265920 in words is "four hundred eight million, two hundred sixty-five thousand, nine hundred twenty".