416045952 has 96 divisors (see below), whose sum is σ = 1368272880. Its totient is φ = 118867968.

The previous prime is 416045939. The next prime is 416045963. The reversal of 416045952 is 259540614.

416045952 is a `hidden beast` number, since 4 + 1 + 60 + 4 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 17733 + ... + 33860.

Almost surely, 2^416045952 is an apocalyptic number.

416045952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

416045952 is an abundant number, since it is smaller than the sum of its proper divisors (952226928).

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

416045952 is a wasteful number, since it uses less digits than its factorization.

416045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51620 (or 51605 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 416045952 is about 20397.2045143446. The cubic root of 416045952 is about 746.5297169464.

The spelling of 416045952 in words is "four hundred sixteen million, forty-five thousand, nine hundred fifty-two".