290148480 has 320 divisors, whose sum is σ = 1077456600. Its totient is φ = 74317824.

The previous prime is 290148433. The next prime is 290148493. The reversal of 290148480 is 84841092.

It can be written as a sum of positive squares in 4 ways, for example, as 201185856 + 88962624 = 14184^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×290148480² = 168372280892620800, which 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 39 ways as a sum of consecutive naturals, for example, 1503264 + ... + 1503456.

Almost surely, 2^290148480 is an apocalyptic number.

290148480 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 290148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538728300).

290148480 is an abundant number, since it is smaller than the sum of its proper divisors (787308120).

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

290148480 is a wasteful number, since it uses less digits than its factorization.

290148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 290148480 is about 17033.7453309600. The cubic root of 290148480 is about 662.0235416034.

The spelling of 290148480 in words is "two hundred ninety million, one hundred forty-eight thousand, four hundred eighty".