416291920 has 80 divisors (see below), whose sum is σ = 1118017728. Its totient is φ = 142469120.

The previous prime is 416291891. The next prime is 416291933. The reversal of 416291920 is 29192614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047 + ... + 28873.

Almost surely, 2^416291920 is an apocalyptic number.

416291920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559008864).

416291920 is an abundant number, since it is smaller than the sum of its proper divisors (701725808).

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

416291920 is a wasteful number, since it uses less digits than its factorization.

416291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27868 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 416291920 is about 20403.2330771376. The cubic root of 416291920 is about 746.6768050636.

The spelling of 416291920 in words is "four hundred sixteen million, two hundred ninety-one thousand, nine hundred twenty".