70479360 has 480 divisors, whose sum is σ = 306408960. Its totient is φ = 14598144.

The previous prime is 70479323. The next prime is 70479371. The reversal of 70479360 is 6397407.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3064309 + ... + 3064331.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^70479360 is an apocalyptic number.

70479360 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 70479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

70479360 is an abundant number, since it is smaller than the sum of its proper divisors (235929600).

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

70479360 is a wasteful number, since it uses less digits than its factorization.

70479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 70479360 is about 8395.1986277872. The cubic root of 70479360 is about 413.0671427479.

The spelling of 70479360 in words is "seventy million, four hundred seventy-nine thousand, three hundred sixty".