462714400 has 72 divisors (see below), whose sum is σ = 1155957264. Its totient is φ = 180768000.

The previous prime is 462714383. The next prime is 462714409. The reversal of 462714400 is 4417264.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (462714409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27675 + ... + 41125.

It is an arithmetic number, because the mean of its divisors is an integer number (16054962).

Almost surely, 2^462714400 is an apocalyptic number.

462714400 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 462714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577978632).

462714400 is an abundant number, since it is smaller than the sum of its proper divisors (693242864).

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

462714400 is a wasteful number, since it uses less digits than its factorization.

462714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 462714400 is about 21510.7972888036. The cubic root of 462714400 is about 773.4596669020.

The spelling of 462714400 in words is "four hundred sixty-two million, seven hundred fourteen thousand, four hundred".