474739200 has 360 divisors, whose sum is σ = 1835421588. Its totient is φ = 116490240.

The previous prime is 474739189. The next prime is 474739201. The reversal of 474739200 is 2937474.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 460359936 = 3792^2 + 21456^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (474739201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497442 + ... + 1497758.

Almost surely, 2^474739200 is an apocalyptic number.

474739200 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 474739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917710794).

474739200 is an abundant number, since it is smaller than the sum of its proper divisors (1360682388).

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

474739200 is a wasteful number, since it uses less digits than its factorization.

474739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 474739200 is about 21788.5107338707. The cubic root of 474739200 is about 780.1025506191.

The spelling of 474739200 in words is "four hundred seventy-four million, seven hundred thirty-nine thousand, two hundred".