472767000 has 128 divisors (see below), whose sum is σ = 1500595200. Its totient is φ = 123888000.

The previous prime is 472766989. The next prime is 472767011. The reversal of 472767000 is 767274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (472766989) and next prime (472767011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175665 + ... + 178335.

It is an arithmetic number, because the mean of its divisors is an integer number (11723400).

Almost surely, 2^472767000 is an apocalyptic number.

472767000 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 472767000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750297600).

472767000 is an abundant number, since it is smaller than the sum of its proper divisors (1027828200).

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

472767000 is a wasteful number, since it uses less digits than its factorization.

472767000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 472767000 is about 21743.2058353868. The cubic root of 472767000 is about 779.0207962159.

The spelling of 472767000 in words is "four hundred seventy-two million, seven hundred sixty-seven thousand".