476141952 has 384 divisors, whose sum is σ = 1612742400. Its totient is φ = 123002880.

The previous prime is 476141947. The next prime is 476141959. The reversal of 476141952 is 259141674.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×476141952² = 453422316908740608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 476141952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476141959) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16418674 + ... + 16418702.

It is an arithmetic number, because the mean of its divisors is an integer number (4199850).

Almost surely, 2^476141952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806371200).

476141952 is an abundant number, since it is smaller than the sum of its proper divisors (1136600448).

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

476141952 is a wasteful number, since it uses less digits than its factorization.

476141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 476141952 is about 21820.6771663943. The cubic root of 476141952 is about 780.8701400531.

The spelling of 476141952 in words is "four hundred seventy-six million, one hundred forty-one thousand, nine hundred fifty-two".