481588400 has 30 divisors (see below), whose sum is σ = 1157017092. Its totient is φ = 192635200.

The previous prime is 481588397. The next prime is 481588403. The reversal of 481588400 is 4885184.

It is an interprime number because it is at equal distance from previous prime (481588397) and next prime (481588403).

It is not an unprimeable number, because it can be changed into a prime (481588403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 601586 + ... + 602385.

Almost surely, 2^481588400 is an apocalyptic number.

481588400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481588400 is an abundant number, since it is smaller than the sum of its proper divisors (675428692).

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

481588400 is a wasteful number, since it uses less digits than its factorization.

481588400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203989 (or 1203978 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 481588400 is about 21945.1224649123. The cubic root of 481588400 is about 783.8362406129.

The spelling of 481588400 in words is "four hundred eighty-one million, five hundred eighty-eight thousand, four hundred".