472281600 has 360 divisors, whose sum is σ = 1822102128. Its totient is φ = 107520000.

The previous prime is 472281587. The next prime is 472281659. The reversal of 472281600 is 6182274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881475 + ... + 1881725.

Almost surely, 2^472281600 is an apocalyptic number.

472281600 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 472281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911051064).

472281600 is an abundant number, since it is smaller than the sum of its proper divisors (1349820528).

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

472281600 is a wasteful number, since it uses less digits than its factorization.

472281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 472281600 is about 21732.0408613641. The cubic root of 472281600 is about 778.7540924752.

It can be divided in two parts, 47228 and 1600, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 472281600 in words is "four hundred seventy-two million, two hundred eighty-one thousand, six hundred".