414163920 has 40 divisors (see below), whose sum is σ = 1283908896. Its totient is φ = 110443648.

The previous prime is 414163873. The next prime is 414163931. The reversal of 414163920 is 29361414.

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 862602 + ... + 863081.

Almost surely, 2^414163920 is an apocalyptic number.

414163920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414163920 is an abundant number, since it is smaller than the sum of its proper divisors (869744976).

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

414163920 is a wasteful number, since it uses less digits than its factorization.

414163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725699 (or 1725693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 414163920 is about 20351.0176649719. The cubic root of 414163920 is about 745.4023441174.

The spelling of 414163920 in words is "four hundred fourteen million, one hundred sixty-three thousand, nine hundred twenty".