462271320 has 256 divisors, whose sum is σ = 1799884800. Its totient is φ = 103334400.

The previous prime is 462271279. The next prime is 462271321. The reversal of 462271320 is 23172264.

462271320 is a `hidden beast` number, since 4 + 622 + 7 + 1 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462271321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354670 + ... + 355970.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^462271320 is an apocalyptic number.

462271320 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 462271320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

462271320 is an abundant number, since it is smaller than the sum of its proper divisors (1337613480).

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

462271320 is a wasteful number, since it uses less digits than its factorization.

462271320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

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

The square root of 462271320 is about 21500.4958082366. The cubic root of 462271320 is about 773.2127082633.

The spelling of 462271320 in words is "four hundred sixty-two million, two hundred seventy-one thousand, three hundred twenty".