290140032 has 384 divisors, whose sum is σ = 1044610560. Its totient is φ = 69341184.

The previous prime is 290140021. The next prime is 290140063. The reversal of 290140032 is 230041092.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×290140032² = 168362476337922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 290139990 and 290140008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12614773 + ... + 12614795.

It is an arithmetic number, because the mean of its divisors is an integer number (2720340).

Almost surely, 2^290140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522305280).

290140032 is an abundant number, since it is smaller than the sum of its proper divisors (754470528).

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

290140032 is a wasteful number, since it uses less digits than its factorization.

290140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 290140032 is about 17033.4973508085. The cubic root of 290140032 is about 662.0171163539.

The spelling of 290140032 in words is "two hundred ninety million, one hundred forty thousand, thirty-two".