462132480 has 144 divisors (see below), whose sum is σ = 1487574144. Its totient is φ = 122265600.

The previous prime is 462132457. The next prime is 462132509. The reversal of 462132480 is 84231264.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 579442 + ... + 580238.

It is an arithmetic number, because the mean of its divisors is an integer number (10330376).

Almost surely, 2^462132480 is an apocalyptic number.

462132480 is a gapful number since it is divisible by the number (40) 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 462132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743787072).

462132480 is an abundant number, since it is smaller than the sum of its proper divisors (1025441664).

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

462132480 is a wasteful number, since it uses less digits than its factorization.

462132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 462132480 is about 21497.2668030147. The cubic root of 462132480 is about 773.1352908124.

The spelling of 462132480 in words is "four hundred sixty-two million, one hundred thirty-two thousand, four hundred eighty".