477368640 has 336 divisors, whose sum is σ = 1948232832. Its totient is φ = 108988416.

The previous prime is 477368603. The next prime is 477368651. The reversal of 477368640 is 46863774.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543882 + ... + 544758.

It is an arithmetic number, because the mean of its divisors is an integer number (5798312).

Almost surely, 2^477368640 is an apocalyptic number.

477368640 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 477368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974116416).

477368640 is an abundant number, since it is smaller than the sum of its proper divisors (1470864192).

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

477368640 is an equidigital number, since it uses as much as digits as its factorization.

477368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 477368640 is about 21848.7674709582. The cubic root of 477368640 is about 781.5401521510.

The spelling of 477368640 in words is "four hundred seventy-seven million, three hundred sixty-eight thousand, six hundred forty".