476668440 has 192 divisors, whose sum is σ = 1664919360. Its totient is φ = 117841920.

The previous prime is 476668429. The next prime is 476668441. The reversal of 476668440 is 44866674.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476668441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433972 + ... + 435068.

It is an arithmetic number, because the mean of its divisors is an integer number (8671455).

Almost surely, 2^476668440 is an apocalyptic number.

476668440 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 476668440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832459680).

476668440 is an abundant number, since it is smaller than the sum of its proper divisors (1188250920).

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

476668440 is a wasteful number, since it uses less digits than its factorization.

476668440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 476668440 is about 21832.7378035829. The cubic root of 476668440 is about 781.1578464957.

The spelling of 476668440 in words is "four hundred seventy-six million, six hundred sixty-eight thousand, four hundred forty".