472401000 has 96 divisors (see below), whose sum is σ = 1596745800. Its totient is φ = 125971200.

The previous prime is 472400993. The next prime is 472401043. The reversal of 472401000 is 104274.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67667076 + 404733924 = 8226^2 + 20118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17245 + ... + 35244.

Almost surely, 2^472401000 is an apocalyptic number.

472401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472401000 is an abundant number, since it is smaller than the sum of its proper divisors (1124344800).

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

472401000 is a wasteful number, since it uses less digits than its factorization.

472401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52516 (or 52499 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 472401000 is about 21734.7877836431. The cubic root of 472401000 is about 778.8197139208.

Adding to 472401000 its reverse (104274), we get a palindrome (472505274).

The spelling of 472401000 in words is "four hundred seventy-two million, four hundred one thousand".