701460480 has 312 divisors, whose sum is σ = 2622037392. Its totient is φ = 159645696.

The previous prime is 701460469. The next prime is 701460493. The reversal of 701460480 is 84064107.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010444 + ... + 3010676.

It is an arithmetic number, because the mean of its divisors is an integer number (8403966).

Almost surely, 2^701460480 is an apocalyptic number.

701460480 is a gapful number since it is divisible by the number (70) 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 701460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311018696).

701460480 is an abundant number, since it is smaller than the sum of its proper divisors (1920576912).

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

701460480 is a wasteful number, since it uses less digits than its factorization.

701460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 701460480 is about 26485.0992069126. The cubic root of 701460480 is about 888.5210804201.

The spelling of 701460480 in words is "seven hundred one million, four hundred sixty thousand, four hundred eighty".