700152480 has 288 divisors, whose sum is σ = 2601550224. Its totient is φ = 170754048.

The previous prime is 700152461. The next prime is 700152493. The reversal of 700152480 is 84251007.

It can be written as a sum of positive squares in 8 ways, for example, as 377447184 + 322705296 = 19428^2 + 17964^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 905374 + ... + 906146.

Almost surely, 2^700152480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300775112).

700152480 is an abundant number, since it is smaller than the sum of its proper divisors (1901397744).

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

700152480 is a wasteful number, since it uses less digits than its factorization.

700152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 700152480 is about 26460.3945548815. The cubic root of 700152480 is about 887.9684673488.

The spelling of 700152480 in words is "seven hundred million, one hundred fifty-two thousand, four hundred eighty".