290090400 has 72 divisors (see below), whose sum is σ = 944252064. Its totient is φ = 77356800.

The previous prime is 290090399. The next prime is 290090401. The reversal of 290090400 is 4090092.

It is an interprime number because it is at equal distance from previous prime (290090399) and next prime (290090401).

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

It is not an unprimeable number, because it can be changed into a prime (290090401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58036 + ... + 62835.

It is an arithmetic number, because the mean of its divisors is an integer number (13114612).

Almost surely, 2^290090400 is an apocalyptic number.

290090400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290090400 is an abundant number, since it is smaller than the sum of its proper divisors (654161664).

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

290090400 is a wasteful number, since it uses less digits than its factorization.

290090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120894 (or 120881 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 290090400 is about 17032.0403945035. The cubic root of 290090400 is about 661.9793654938.

The spelling of 290090400 in words is "two hundred ninety million, ninety thousand, four hundred".