416041968 has 40 divisors (see below), whose sum is σ = 1079538048. Its totient is φ = 138066112.

The previous prime is 416041921. The next prime is 416041987. The reversal of 416041968 is 869140614.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 8196 + ... + 29987.

Almost surely, 2^416041968 is an apocalyptic number.

416041968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416041968 is an abundant number, since it is smaller than the sum of its proper divisors (663496080).

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

416041968 is a wasteful number, since it uses less digits than its factorization.

416041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38421 (or 38415 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 416041968 is about 20397.1068536692. The cubic root of 416041968 is about 746.5273340495.

The spelling of 416041968 in words is "four hundred sixteen million, forty-one thousand, nine hundred sixty-eight".