477245952 has 320 divisors, whose sum is σ = 1571328000. Its totient is φ = 142331904.

The previous prime is 477245941. The next prime is 477245999. The reversal of 477245952 is 259542774.

Its product of digits (705600) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 477245898 and 477245907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6041049 + ... + 6041127.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^477245952 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 477245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

477245952 is an abundant number, since it is smaller than the sum of its proper divisors (1094082048).

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

477245952 is a wasteful number, since it uses less digits than its factorization.

477245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 477245952 is about 21845.9596264389. The cubic root of 477245952 is about 781.4731921500.

The spelling of 477245952 in words is "four hundred seventy-seven million, two hundred forty-five thousand, nine hundred fifty-two".