290472000 has 672 divisors, whose sum is σ = 1264798080. Its totient is φ = 58060800.

The previous prime is 290471989. The next prime is 290472011. The reversal of 290472000 is 274092.

It is an interprime number because it is at equal distance from previous prime (290471989) and next prime (290472011).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15287991 + ... + 15288009.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^290472000 is an apocalyptic number.

290472000 is a gapful number since it is divisible by the number (20) 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 290472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

290472000 is an abundant number, since it is smaller than the sum of its proper divisors (974326080).

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

290472000 is a wasteful number, since it uses less digits than its factorization.

290472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 290472000 is about 17043.2391287572. The cubic root of 290472000 is about 662.2695056716.

The spelling of 290472000 in words is "two hundred ninety million, four hundred seventy-two thousand".