290025383424 has 480 divisors, whose sum is σ = 963480583296. Its totient is φ = 77022167040.

The previous prime is 290025383423. The next prime is 290025383443. The reversal of 290025383424 is 424383520092.

It is a super-2 number, since 2×290025383424² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290025383423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106196139 + ... + 106198869.

Almost surely, 2^290025383424 is an apocalyptic number.

290025383424 is a gapful number since it is divisible by the number (24) 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 290025383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481740291648).

290025383424 is an abundant number, since it is smaller than the sum of its proper divisors (673455199872).

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

290025383424 is a wasteful number, since it uses less digits than its factorization.

290025383424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 290025383424 in words is "two hundred ninety billion, twenty-five million, three hundred eighty-three thousand, four hundred twenty-four".