476951040 has 240 divisors, whose sum is σ = 1675035648. Its totient is φ = 125411328.

The previous prime is 476951039. The next prime is 476951051. The reversal of 476951040 is 40159674.

476951040 is a `hidden beast` number, since 47 + 69 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 476950986 and 476951004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925999 + ... + 2926161.

Almost surely, 2^476951040 is an apocalyptic number.

476951040 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 476951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837517824).

476951040 is an abundant number, since it is smaller than the sum of its proper divisors (1198084608).

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

476951040 is a wasteful number, since it uses less digits than its factorization.

476951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 476951040 is about 21839.2087768765. The cubic root of 476951040 is about 781.3121896947.

The spelling of 476951040 in words is "four hundred seventy-six million, nine hundred fifty-one thousand, forty".