470907014760 has 864 divisors, whose sum is σ = 1943554406040. Its totient is φ = 98545434624.

The previous prime is 470907014749. The next prime is 470907014771. The reversal of 470907014760 is 67410709074.

It is an interprime number because it is at equal distance from previous prime (470907014749) and next prime (470907014771).

It can be written as a sum of positive squares in 12 ways, for example, as 7905699396 + 463001315364 = 88914^2 + 680442^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 408418344 + ... + 408419496.

Almost surely, 2^470907014760 is an apocalyptic number.

470907014760 is a gapful number since it is divisible by the number (40) 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 470907014760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971777203020).

470907014760 is an abundant number, since it is smaller than the sum of its proper divisors (1472647391280).

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

470907014760 is a wasteful number, since it uses less digits than its factorization.

470907014760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 470907014760 in words is "four hundred seventy billion, nine hundred seven million, fourteen thousand, seven hundred sixty".