462229920 has 144 divisors (see below), whose sum is σ = 1584765000. Its totient is φ = 122683392.

The previous prime is 462229841. The next prime is 462229921. The reversal of 462229920 is 29922264.

It is a happy number.

462229920 is a `hidden beast` number, since 4 + 622 + 2 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 447576336 + 14653584 = 21156^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462229921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369456 + ... + 370704.

Almost surely, 2^462229920 is an apocalyptic number.

462229920 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 462229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792382500).

462229920 is an abundant number, since it is smaller than the sum of its proper divisors (1122535080).

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

462229920 is a wasteful number, since it uses less digits than its factorization.

462229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 462229920 is about 21499.5330181844. The cubic root of 462229920 is about 773.1896251659.

The spelling of 462229920 in words is "four hundred sixty-two million, two hundred twenty-nine thousand, nine hundred twenty".