477411840 has 160 divisors (see below), whose sum is σ = 1696052160. Its totient is φ = 127291392.

The previous prime is 477411839. The next prime is 477411871. The reversal of 477411840 is 48114774.

477411840 is a `hidden beast` number, since 477 + 4 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 477411795 and 477411804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65667 + ... + 72573.

It is an arithmetic number, because the mean of its divisors is an integer number (10600326).

Almost surely, 2^477411840 is an apocalyptic number.

477411840 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 477411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848026080).

477411840 is an abundant number, since it is smaller than the sum of its proper divisors (1218640320).

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

477411840 is an equidigital number, since it uses as much as digits as its factorization.

477411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 477411840 is about 21849.7560627115. The cubic root of 477411840 is about 781.5637268850.

The spelling of 477411840 in words is "four hundred seventy-seven million, four hundred eleven thousand, eight hundred forty".