500440416 has 96 divisors (see below), whose sum is σ = 1529756928. Its totient is φ = 140275200.

The previous prime is 500440399. The next prime is 500440433. The reversal of 500440416 is 614044005.

It is an interprime number because it is at equal distance from previous prime (500440399) and next prime (500440433).

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 (24).

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, 28591 + ... + 42641.

It is an arithmetic number, because the mean of its divisors is an integer number (15934968).

Almost surely, 2^500440416 is an apocalyptic number.

500440416 is a gapful number since it is divisible by the number (56) 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 500440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764878464).

500440416 is an abundant number, since it is smaller than the sum of its proper divisors (1029316512).

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

500440416 is a wasteful number, since it uses less digits than its factorization.

500440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 500440416 is about 22370.5256084876. The cubic root of 500440416 is about 793.9334965354.

The spelling of 500440416 in words is "five hundred million, four hundred forty thousand, four hundred sixteen".