481377600 has 336 divisors, whose sum is σ = 1916216640. Its totient is φ = 116582400.

The previous prime is 481377599. The next prime is 481377601. The reversal of 481377600 is 6773184.

481377600 is a `hidden beast` number, since 48 + 1 + 3 + 7 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (481377599) and next prime (481377601).

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 (481377601) 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 47 ways as a sum of consecutive naturals, for example, 474694 + ... + 475706.

Almost surely, 2^481377600 is an apocalyptic number.

481377600 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 481377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958108320).

481377600 is an abundant number, since it is smaller than the sum of its proper divisors (1434839040).

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

481377600 is a wasteful number, since it uses less digits than its factorization.

481377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 481377600 is about 21940.3190496401. The cubic root of 481377600 is about 783.7218574634.

The spelling of 481377600 in words is "four hundred eighty-one million, three hundred seventy-seven thousand, six hundred".