701628480 has 336 divisors, whose sum is σ = 2862437760. Its totient is φ = 160247808.

The previous prime is 701628479. The next prime is 701628511. The reversal of 701628480 is 84826107.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×701628480² = 984565047894220800, which contains 22 as substring.

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

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, 543676 + ... + 544964.

It is an arithmetic number, because the mean of its divisors is an integer number (8519160).

Almost surely, 2^701628480 is an apocalyptic number.

701628480 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 701628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431218880).

701628480 is an abundant number, since it is smaller than the sum of its proper divisors (2160809280).

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

701628480 is a wasteful number, since it uses less digits than its factorization.

701628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 701628480 is about 26488.2706117255. The cubic root of 701628480 is about 888.5920084484.

The spelling of 701628480 in words is "seven hundred one million, six hundred twenty-eight thousand, four hundred eighty".