467611872 has 96 divisors (see below), whose sum is σ = 1510774272. Its totient is φ = 123323904.

The previous prime is 467611849. The next prime is 467611897. The reversal of 467611872 is 278116764.

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 (42).

It is a nude number because it is divisible by every one of its digits.

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, 18028 + ... + 35499.

It is an arithmetic number, because the mean of its divisors is an integer number (15737232).

Almost surely, 2^467611872 is an apocalyptic number.

467611872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

467611872 is an abundant number, since it is smaller than the sum of its proper divisors (1043162400).

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

467611872 is a wasteful number, since it uses less digits than its factorization.

467611872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53560 (or 53552 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 467611872 is about 21624.3351805321. The cubic root of 467611872 is about 776.1789186055.

The spelling of 467611872 in words is "four hundred sixty-seven million, six hundred eleven thousand, eight hundred seventy-two".