477991440 has 120 divisors (see below), whose sum is σ = 1642692480. Its totient is φ = 124492032.

The previous prime is 477991361. The next prime is 477991441. The reversal of 477991440 is 44199774.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (477991441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23241 + ... + 38679.

It is an arithmetic number, because the mean of its divisors is an integer number (13689104).

Almost surely, 2^477991440 is an apocalyptic number.

477991440 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 477991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821346240).

477991440 is an abundant number, since it is smaller than the sum of its proper divisors (1164701040).

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

477991440 is a wasteful number, since it uses less digits than its factorization.

477991440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 477991440 is about 21863.0153455556. The cubic root of 477991440 is about 781.8798837843.

The spelling of 477991440 in words is "four hundred seventy-seven million, nine hundred ninety-one thousand, four hundred forty".