467634420 has 144 divisors (see below), whose sum is σ = 1563149952. Its totient is φ = 112216320.

The previous prime is 467634407. The next prime is 467634437. The reversal of 467634420 is 24436764.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202794 + ... + 205086.

It is an arithmetic number, because the mean of its divisors is an integer number (10855208).

Almost surely, 2^467634420 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 467634420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781574976).

467634420 is an abundant number, since it is smaller than the sum of its proper divisors (1095515532).

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

467634420 is a wasteful number, since it uses less digits than its factorization.

467634420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 467634420 is about 21624.8565313160. The cubic root of 467634420 is about 776.1913940523.

The spelling of 467634420 in words is "four hundred sixty-seven million, six hundred thirty-four thousand, four hundred twenty".