916471920 has 320 divisors, whose sum is σ = 3619768320. Its totient is φ = 186568704.

The previous prime is 916471909. The next prime is 916471937. The reversal of 916471920 is 29174619.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632637 + ... + 634083.

It is an arithmetic number, because the mean of its divisors is an integer number (11311776).

Almost surely, 2^916471920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809884160).

916471920 is an abundant number, since it is smaller than the sum of its proper divisors (2703296400).

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

916471920 is a wasteful number, since it uses less digits than its factorization.

916471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 916471920 is about 30273.2872347884. The cubic root of 916471920 is about 971.3439831602.

The spelling of 916471920 in words is "nine hundred sixteen million, four hundred seventy-one thousand, nine hundred twenty".