481766400 has 528 divisors, whose sum is σ = 1918939680. Its totient is φ = 117964800.

The previous prime is 481766399. The next prime is 481766423. The reversal of 481766400 is 4667184.

481766400 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 6 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11750380 + ... + 11750420.

Almost surely, 2^481766400 is an apocalyptic number.

481766400 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 481766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959469840).

481766400 is an abundant number, since it is smaller than the sum of its proper divisors (1437173280).

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

481766400 is a wasteful number, since it uses less digits than its factorization.

481766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 481766400 is about 21949.1776611335. The cubic root of 481766400 is about 783.9328000155.

It can be divided in two parts, 4817 and 66400, that added together give a palindrome (71217).

The spelling of 481766400 in words is "four hundred eighty-one million, seven hundred sixty-six thousand, four hundred".