482137920 has 560 divisors, whose sum is σ = 1991563200. Its totient is φ = 109486080.

The previous prime is 482137919. The next prime is 482137921. The reversal of 482137920 is 29731284.

It is an interprime number because it is at equal distance from previous prime (482137919) and next prime (482137921).

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 (482137921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5417236 + ... + 5417324.

Almost surely, 2^482137920 is an apocalyptic number.

482137920 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 482137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995781600).

482137920 is an abundant number, since it is smaller than the sum of its proper divisors (1509425280).

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

482137920 is a wasteful number, since it uses less digits than its factorization.

482137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 482137920 is about 21957.6392173658. The cubic root of 482137920 is about 784.1342613322.

The spelling of 482137920 in words is "four hundred eighty-two million, one hundred thirty-seven thousand, nine hundred twenty".