408455460 has 240 divisors, whose sum is σ = 1479878400. Its totient is φ = 92378880.

The previous prime is 408455441. The next prime is 408455477. The reversal of 408455460 is 64554804.

408455460 is a `hidden beast` number, since 40 + 8 + 4 + 554 + 60 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2052441 + ... + 2052639.

It is an arithmetic number, because the mean of its divisors is an integer number (6166160).

Almost surely, 2^408455460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739939200).

408455460 is an abundant number, since it is smaller than the sum of its proper divisors (1071422940).

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

408455460 is a wasteful number, since it uses less digits than its factorization.

408455460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 408455460 is about 20210.2810470315. The cubic root of 408455460 is about 741.9618383805.

The spelling of 408455460 in words is "four hundred eight million, four hundred fifty-five thousand, four hundred sixty".