414379040 has 48 divisors (see below), whose sum is σ = 1021543488. Its totient is φ = 158543616.

The previous prime is 414379019. The next prime is 414379067. The reversal of 414379040 is 40973414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 414378988 and 414379006.

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, 52622 + ... + 59981.

It is an arithmetic number, because the mean of its divisors is an integer number (21282156).

Almost surely, 2^414379040 is an apocalyptic number.

414379040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414379040 is an abundant number, since it is smaller than the sum of its proper divisors (607164448).

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

414379040 is a wasteful number, since it uses less digits than its factorization.

414379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112641 (or 112633 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 414379040 is about 20356.3022182321. The cubic root of 414379040 is about 745.5313777279.

The spelling of 414379040 in words is "four hundred fourteen million, three hundred seventy-nine thousand, forty".