407883240 has 48 divisors (see below), whose sum is σ = 1325621700. Its totient is φ = 108768768.

The previous prime is 407883239. The next prime is 407883253. The reversal of 407883240 is 42388704.

407883240 is a `hidden beast` number, since 407 + 8 + 8 + 3 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386594244 + 21288996 = 19662^2 + 4614^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 407883195 and 407883204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566145 + ... + 566864.

Almost surely, 2^407883240 is an apocalyptic number.

407883240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407883240 is an abundant number, since it is smaller than the sum of its proper divisors (917738460).

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

407883240 is a wasteful number, since it uses less digits than its factorization.

407883240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133026 (or 1133019 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 407883240 is about 20196.1194292369. The cubic root of 407883240 is about 741.6151960802.

The spelling of 407883240 in words is "four hundred seven million, eight hundred eighty-three thousand, two hundred forty".