477935640 has 320 divisors, whose sum is σ = 1978320960. Its totient is φ = 100776960.

The previous prime is 477935639. The next prime is 477935641. The reversal of 477935640 is 46539774.

477935640 is a `hidden beast` number, since 477 + 93 + 56 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (477935639) and next prime (477935641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477935641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294030 + ... + 295650.

It is an arithmetic number, because the mean of its divisors is an integer number (6182253).

Almost surely, 2^477935640 is an apocalyptic number.

477935640 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 477935640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989160480).

477935640 is an abundant number, since it is smaller than the sum of its proper divisors (1500385320).

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

477935640 is a wasteful number, since it uses less digits than its factorization.

477935640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 477935640 is about 21861.7391805867. The cubic root of 477935640 is about 781.8494574407.

The spelling of 477935640 in words is "four hundred seventy-seven million, nine hundred thirty-five thousand, six hundred forty".