408053720 has 64 divisors (see below), whose sum is σ = 974877120. Its totient is φ = 153186304.

The previous prime is 408053719. The next prime is 408053753. The reversal of 408053720 is 27350804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341444 + ... + 342636.

It is an arithmetic number, because the mean of its divisors is an integer number (15232455).

Almost surely, 2^408053720 is an apocalyptic number.

408053720 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 408053720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487438560).

408053720 is an abundant number, since it is smaller than the sum of its proper divisors (566823400).

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

408053720 is a wasteful number, since it uses less digits than its factorization.

408053720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 408053720 is about 20200.3396011057. The cubic root of 408053720 is about 741.7185041971.

The spelling of 408053720 in words is "four hundred eight million, fifty-three thousand, seven hundred twenty".