1915008480 has 960 divisors, whose sum is σ = 8957329920. Its totient is φ = 373248000.

The previous prime is 1915008479. The next prime is 1915008517. The reversal of 1915008480 is 848005191.

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 159 ways as a sum of consecutive naturals, for example, 18960430 + ... + 18960530.

It is an arithmetic number, because the mean of its divisors is an integer number (9330552).

Almost surely, 2^1915008480 is an apocalyptic number.

1915008480 is a gapful number since it is divisible by the number (10) 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 1915008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

1915008480 is an abundant number, since it is smaller than the sum of its proper divisors (7042321440).

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

1915008480 is a wasteful number, since it uses less digits than its factorization.

1915008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1915008480 is about 43760.8098645352. The cubic root of 1915008480 is about 1241.8149972989.

The spelling of 1915008480 in words is "one billion, nine hundred fifteen million, eight thousand, four hundred eighty".