462672000 has 768 divisors, whose sum is σ = 2085108480. Its totient is φ = 99532800.

The previous prime is 462671987. The next prime is 462672031. The reversal of 462672000 is 276264.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27215992 + ... + 27216008.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985).

Almost surely, 2^462672000 is an apocalyptic number.

462672000 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 462672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042554240).

462672000 is an abundant number, since it is smaller than the sum of its proper divisors (1622436480).

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

462672000 is an equidigital number, since it uses as much as digits as its factorization.

462672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 462672000 is about 21509.8117146571. The cubic root of 462672000 is about 773.4360413196.

The spelling of 462672000 in words is "four hundred sixty-two million, six hundred seventy-two thousand".