407831040 has 240 divisors, whose sum is σ = 1460549376. Its totient is φ = 105062400.

The previous prime is 407830999. The next prime is 407831093. The reversal of 407831040 is 40138704.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 407830995 and 407831013.

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, 713955 + ... + 714525.

Almost surely, 2^407831040 is an apocalyptic number.

407831040 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 407831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730274688).

407831040 is an abundant number, since it is smaller than the sum of its proper divisors (1052718336).

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

407831040 is a wasteful number, since it uses less digits than its factorization.

407831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 612 counting only the distinct ones).

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

The square root of 407831040 is about 20194.8270604133. The cubic root of 407831040 is about 741.5835579699.

Adding to 407831040 its reverse (40138704), we get a palindrome (447969744).

The spelling of 407831040 in words is "four hundred seven million, eight hundred thirty-one thousand, forty".