476952840 has 512 divisors, whose sum is σ = 2051481600. Its totient is φ = 95800320.

The previous prime is 476952803. The next prime is 476952841. The reversal of 476952840 is 48259674.

It is a happy number.

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 (476952841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2260335 + ... + 2260545.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2^476952840 is an apocalyptic number.

476952840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

476952840 is the 10920-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476952840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025740800).

476952840 is an abundant number, since it is smaller than the sum of its proper divisors (1574528760).

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

476952840 is a wasteful number, since it uses less digits than its factorization.

476952840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 476952840 is about 21839.2499871218. The cubic root of 476952840 is about 781.3131725770.

The spelling of 476952840 in words is "four hundred seventy-six million, nine hundred fifty-two thousand, eight hundred forty".