476439840 has 192 divisors, whose sum is σ = 1725494400. Its totient is φ = 122637312.

The previous prime is 476439827. The next prime is 476439853. The reversal of 476439840 is 48934674.

It is an interprime number because it is at equal distance from previous prime (476439827) and next prime (476439853).

It is a super-2 number, since 2×476439840² = 453989842278451200, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123379 + ... + 127181.

It is an arithmetic number, because the mean of its divisors is an integer number (8986950).

Almost surely, 2^476439840 is an apocalyptic number.

476439840 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 476439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862747200).

476439840 is an abundant number, since it is smaller than the sum of its proper divisors (1249054560).

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

476439840 is a wasteful number, since it uses less digits than its factorization.

476439840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 476439840 is about 21827.5019184514. The cubic root of 476439840 is about 781.0329509898.

The spelling of 476439840 in words is "four hundred seventy-six million, four hundred thirty-nine thousand, eight hundred forty".