413178240 has 64 divisors (see below), whose sum is σ = 1317011760. Its totient is φ = 110180352.

The previous prime is 413178229. The next prime is 413178257. The reversal of 413178240 is 42871314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413178198 and 413178207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105679 + ... + 109518.

Almost surely, 2^413178240 is an apocalyptic number.

413178240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413178240 is an abundant number, since it is smaller than the sum of its proper divisors (903833520).

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

413178240 is a wasteful number, since it uses less digits than its factorization.

413178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215219 (or 215207 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 413178240 is about 20326.7862683701. The cubic root of 413178240 is about 744.8105399344.

The spelling of 413178240 in words is "four hundred thirteen million, one hundred seventy-eight thousand, two hundred forty".