475862400 has 576 divisors, whose sum is σ = 1933626240. Its totient is φ = 110592000.

The previous prime is 475862393. The next prime is 475862407. The reversal of 475862400 is 4268574.

It is an interprime number because it is at equal distance from previous prime (475862393) and next prime (475862407).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475862407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11606380 + ... + 11606420.

It is an arithmetic number, because the mean of its divisors is an integer number (3356990).

Almost surely, 2^475862400 is an apocalyptic number.

475862400 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 475862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966813120).

475862400 is an abundant number, since it is smaller than the sum of its proper divisors (1457763840).

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

475862400 is a wasteful number, since it uses less digits than its factorization.

475862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 475862400 is about 21814.2705585128. The cubic root of 475862400 is about 780.7172888961.

The spelling of 475862400 in words is "four hundred seventy-five million, eight hundred sixty-two thousand, four hundred".