408731040 has 144 divisors (see below), whose sum is σ = 1468303200. Its totient is φ = 103251456.

The previous prime is 408731027. The next prime is 408731053. The reversal of 408731040 is 40137804.

It is an interprime number because it is at equal distance from previous prime (408731027) and next prime (408731053).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×408731040² = 334122126118963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408730995 and 408731013.

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, 19891 + ... + 34829.

It is an arithmetic number, because the mean of its divisors is an integer number (10196550).

Almost surely, 2^408731040 is an apocalyptic number.

408731040 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 408731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734151600).

408731040 is an abundant number, since it is smaller than the sum of its proper divisors (1059572160).

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

408731040 is a wasteful number, since it uses less digits than its factorization.

408731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14979 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 408731040 is about 20217.0977145583. The cubic root of 408731040 is about 742.1286651186.

Adding to 408731040 its reverse (40137804), we get a palindrome (448868844).

The spelling of 408731040 in words is "four hundred eight million, seven hundred thirty-one thousand, forty".