477842400 has 432 divisors, whose sum is σ = 2031120000. Its totient is φ = 103265280.

The previous prime is 477842377. The next prime is 477842423. The reversal of 477842400 is 4248774.

It is an interprime number because it is at equal distance from previous prime (477842377) and next prime (477842423).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957351 + ... + 957849.

Almost surely, 2^477842400 is an apocalyptic number.

477842400 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 477842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560000).

477842400 is an abundant number, since it is smaller than the sum of its proper divisors (1553277600).

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

477842400 is a wasteful number, since it uses less digits than its factorization.

477842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 477842400 is about 21859.6065838340. The cubic root of 477842400 is about 781.7986107168.

The spelling of 477842400 in words is "four hundred seventy-seven million, eight hundred forty-two thousand, four hundred".