477435240 has 96 divisors (see below), whose sum is σ = 1573603200. Its totient is φ = 125516160.

The previous prime is 477435239. The next prime is 477435263. The reversal of 477435240 is 42534774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 477435195 and 477435204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16221 + ... + 34899.

It is an arithmetic number, because the mean of its divisors is an integer number (16391700).

Almost surely, 2^477435240 is an apocalyptic number.

477435240 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 477435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786801600).

477435240 is an abundant number, since it is smaller than the sum of its proper divisors (1096167960).

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

477435240 is a wasteful number, since it uses less digits than its factorization.

477435240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 477435240 is about 21850.2915312359. The cubic root of 477435240 is about 781.5764959388.

The spelling of 477435240 in words is "four hundred seventy-seven million, four hundred thirty-five thousand, two hundred forty".