481455576900 has 243 divisors, whose sum is σ = 1530870131973. Its totient is φ = 126561888000.

The previous prime is 481455576881. The next prime is 481455576937. The reversal of 481455576900 is 9675554184.

It is a happy number.

The square root of 481455576900 is 693870.

It is a perfect power (a square), and thus also a powerful number.

481455576900 is a `hidden beast` number, since 4 + 8 + 14 + 55 + 576 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 15272510724 + 466183066176 = 123582^2 + 682776^2 .

It is a super-2 number, since 2×481455576900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2102425986 + ... + 2102426214.

Almost surely, 2^481455576900 is an apocalyptic number.

481455576900 is the 693870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481455576900

481455576900 is an abundant number, since it is smaller than the sum of its proper divisors (1049414555073).

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

481455576900 is a wasteful number, since it uses less digits than its factorization.

481455576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 481455576900 in words is "four hundred eighty-one billion, four hundred fifty-five million, five hundred seventy-six thousand, nine hundred".