658290240 has 280 divisors, whose sum is σ = 2373279480. Its totient is φ = 173187072.

The previous prime is 658290229. The next prime is 658290251. The reversal of 658290240 is 42092856.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (658290229) and next prime (658290251).

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 613453824 = 6696^2 + 24768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 658290195 and 658290204.

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, 2825164 + ... + 2825396.

Almost surely, 2^658290240 is an apocalyptic number.

658290240 is a gapful number since it is divisible by the number (60) 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 658290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186639740).

658290240 is an abundant number, since it is smaller than the sum of its proper divisors (1714989240).

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

658290240 is a wasteful number, since it uses less digits than its factorization.

658290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 658290240 is about 25657.1674196510. The cubic root of 658290240 is about 869.9062919284.

The spelling of 658290240 in words is "six hundred fifty-eight million, two hundred ninety thousand, two hundred forty".