290346480 has 240 divisors, whose sum is σ = 1034130240. Its totient is φ = 72855552.

The previous prime is 290346421. The next prime is 290346541. The reversal of 290346480 is 84643092.

It is a happy number.

290346480 is a `hidden beast` number, since 2 + 9 + 0 + 3 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1473742 + ... + 1473938.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876).

Almost surely, 2^290346480 is an apocalyptic number.

290346480 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 290346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).

290346480 is an abundant number, since it is smaller than the sum of its proper divisors (743783760).

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

290346480 is a wasteful number, since it uses less digits than its factorization.

290346480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 290346480 is about 17039.5563322523. The cubic root of 290346480 is about 662.1740976861.

The spelling of 290346480 in words is "two hundred ninety million, three hundred forty-six thousand, four hundred eighty".