477264500 has 36 divisors (see below), whose sum is σ = 1043413644. Its totient is φ = 190710400.

The previous prime is 477264493. The next prime is 477264509. The reversal of 477264500 is 5462774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2808976 + 474455524 = 1676^2 + 21782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477264509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488012 + ... + 488988.

Almost surely, 2^477264500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521706822).

477264500 is an abundant number, since it is smaller than the sum of its proper divisors (566149144).

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

477264500 is an frugal number, since it uses more digits than its factorization.

477264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 477264500 is about 21846.3841401729. The cubic root of 477264500 is about 781.4833159146.

The spelling of 477264500 in words is "four hundred seventy-seven million, two hundred sixty-four thousand, five hundred".