467262432 has 360 divisors, whose sum is σ = 1727615736. Its totient is φ = 122798592.

The previous prime is 467262409. The next prime is 467262449. The reversal of 467262432 is 234262764.

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

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 59 ways as a sum of consecutive naturals, for example, 1650963 + ... + 1651245.

Almost surely, 2^467262432 is an apocalyptic number.

467262432 is a gapful number since it is divisible by the number (42) 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 467262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863807868).

467262432 is an abundant number, since it is smaller than the sum of its proper divisors (1260353304).

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

467262432 is a wasteful number, since it uses less digits than its factorization.

467262432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

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

The square root of 467262432 is about 21616.2538845194. The cubic root of 467262432 is about 775.9855277706.

The spelling of 467262432 in words is "four hundred sixty-seven million, two hundred sixty-two thousand, four hundred thirty-two".