477662400 has 168 divisors, whose sum is σ = 1741413840. Its totient is φ = 127365120.

The previous prime is 477662389. The next prime is 477662411. The reversal of 477662400 is 4266774.

It is an interprime number because it is at equal distance from previous prime (477662389) and next prime (477662411).

It is a super-2 number, since 2×477662400² = 456322736747520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37672 + ... + 48728.

Almost surely, 2^477662400 is an apocalyptic number.

477662400 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 477662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870706920).

477662400 is an abundant number, since it is smaller than the sum of its proper divisors (1263751440).

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

477662400 is a wasteful number, since it uses less digits than its factorization.

477662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11088 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 477662400 is about 21855.4890130603. The cubic root of 477662400 is about 781.7004323052.

It can be divided in two parts, 4776 and 62400, that added together give a palindrome (67176).

The spelling of 477662400 in words is "four hundred seventy-seven million, six hundred sixty-two thousand, four hundred".