1507645480 has 96 divisors (see below), whose sum is σ = 3776774400. Its totient is φ = 541157760.

The previous prime is 1507645471. The next prime is 1507645487. The reversal of 1507645480 is 845467051.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1507645487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380389 + ... + 384331.

It is an arithmetic number, because the mean of its divisors is an integer number (39341400).

Almost surely, 2^1507645480 is an apocalyptic number.

1507645480 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 1507645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888387200).

1507645480 is an abundant number, since it is smaller than the sum of its proper divisors (2269128920).

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

1507645480 is a wasteful number, since it uses less digits than its factorization.

1507645480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 1507645480 is about 38828.4107323491. The cubic root of 1507645480 is about 1146.6558119728.

The spelling of 1507645480 in words is "one billion, five hundred seven million, six hundred forty-five thousand, four hundred eighty".