476439040 has 160 divisors (see below), whose sum is σ = 1424801664. Its totient is φ = 148439040.

The previous prime is 476439023. The next prime is 476439149. The reversal of 476439040 is 40934674.

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

It is a super-2 number, since 2×476439040² = 453988317672243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195912 + ... + 198328.

Almost surely, 2^476439040 is an apocalyptic number.

476439040 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 476439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712400832).

476439040 is an abundant number, since it is smaller than the sum of its proper divisors (948362624).

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

476439040 is a wasteful number, since it uses less digits than its factorization.

476439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 476439040 is about 21827.4835929385. The cubic root of 476439040 is about 781.0325138400.

The spelling of 476439040 in words is "four hundred seventy-six million, four hundred thirty-nine thousand, forty".