477402640 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 154613760.

The previous prime is 477402599. The next prime is 477402643. The reversal of 477402640 is 46204774.

It is a junction number, because it is equal to n+sod(n) for n = 477402596 and 477402605.

It is not an unprimeable number, because it can be changed into a prime (477402643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331041 + ... + 332479.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^477402640 is an apocalyptic number.

477402640 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 477402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

477402640 is an abundant number, since it is smaller than the sum of its proper divisors (872510960).

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

477402640 is a wasteful number, since it uses less digits than its factorization.

477402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 477402640 is about 21849.5455330311. The cubic root of 477402640 is about 781.5587064590.

The spelling of 477402640 in words is "four hundred seventy-seven million, four hundred two thousand, six hundred forty".