1415464960 has 384 divisors, whose sum is σ = 4402944000. Its totient is φ = 433520640.

The previous prime is 1415464949. The next prime is 1415464961. The reversal of 1415464960 is 694645141.

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 (1415464961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45660145 + ... + 45660175.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1415464960 is an apocalyptic number.

1415464960 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 1415464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1415464960 is an abundant number, since it is smaller than the sum of its proper divisors (2987479040).

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

1415464960 is an equidigital number, since it uses as much as digits as its factorization.

1415464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 1415464960 is about 37622.6655089721. The cubic root of 1415464960 is about 1122.7930290216.

The spelling of 1415464960 in words is "one billion, four hundred fifteen million, four hundred sixty-four thousand, nine hundred sixty".