1415672460 has 72 divisors (see below), whose sum is σ = 4327058736. Its totient is φ = 374624640.

The previous prime is 1415672449. The next prime is 1415672473. The reversal of 1415672460 is 642765141.

1415672460 is a `hidden beast` number, since 14 + 1 + 567 + 24 + 60 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6439 + ... + 53598.

It is an arithmetic number, because the mean of its divisors is an integer number (60098038).

Almost surely, 2^1415672460 is an apocalyptic number.

1415672460 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 1415672460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163529368).

1415672460 is an abundant number, since it is smaller than the sum of its proper divisors (2911386276).

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

1415672460 is a wasteful number, since it uses less digits than its factorization.

1415672460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60183 (or 60178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1415672460 is about 37625.4230541000. The cubic root of 1415672460 is about 1122.8478915995.

The spelling of 1415672460 in words is "one billion, four hundred fifteen million, six hundred seventy-two thousand, four hundred sixty".