474986400 has 288 divisors, whose sum is σ = 1806134400. Its totient is φ = 108380160.

The previous prime is 474986381. The next prime is 474986419. The reversal of 474986400 is 4689474.

It is an interprime number because it is at equal distance from previous prime (474986381) and next prime (474986419).

It is a super-2 number, since 2×474986400² = 451224160369920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822912 + ... + 823488.

It is an arithmetic number, because the mean of its divisors is an integer number (6271300).

Almost surely, 2^474986400 is an apocalyptic number.

474986400 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 474986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903067200).

474986400 is an abundant number, since it is smaller than the sum of its proper divisors (1331148000).

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

474986400 is a wasteful number, since it uses less digits than its factorization.

474986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 474986400 is about 21794.1827100720. The cubic root of 474986400 is about 780.2379287305.

The spelling of 474986400 in words is "four hundred seventy-four million, nine hundred eighty-six thousand, four hundred".