467796816 has 160 divisors (see below), whose sum is σ = 1419552000. Its totient is φ = 147476736.

The previous prime is 467796787. The next prime is 467796821. The reversal of 467796816 is 618697764.

It is a happy number.

It is a super-2 number, since 2×467796816² = 437667722119475712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5256100 + ... + 5256188.

It is an arithmetic number, because the mean of its divisors is an integer number (8872200).

Almost surely, 2^467796816 is an apocalyptic number.

467796816 is a gapful number since it is divisible by the number (46) 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 467796816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709776000).

467796816 is an abundant number, since it is smaller than the sum of its proper divisors (951755184).

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

467796816 is an equidigital number, since it uses as much as digits as its factorization.

467796816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 117 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 467796816 is about 21628.6110511054. The cubic root of 467796816 is about 776.2812333112.

The spelling of 467796816 in words is "four hundred sixty-seven million, seven hundred ninety-six thousand, eight hundred sixteen".