290413094400 has 2160 divisors, whose sum is σ = 1318317528528. Its totient is φ = 60162048000.

The previous prime is 290413094393. The next prime is 290413094431. The reversal of 290413094400 is 4490314092.

It is a super-2 number, since 2×290413094400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4760870370 + ... + 4760870430.

Almost surely, 2^290413094400 is an apocalyptic number.

290413094400 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 290413094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659158764264).

290413094400 is an abundant number, since it is smaller than the sum of its proper divisors (1027904434128).

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

290413094400 is a wasteful number, since it uses less digits than its factorization.

290413094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 290413094400 in words is "two hundred ninety billion, four hundred thirteen million, ninety-four thousand, four hundred".