15460400385 has 48 divisors (see below), whose sum is σ = 27475466304. Its totient is φ = 8037864576.

The previous prime is 15460400381. The next prime is 15460400393. The reversal of 15460400385 is 58300406451.

It is a happy number.

15460400385 is a `hidden beast` number, since 15 + 4 + 604 + 0 + 0 + 38 + 5 = 666.

It is not a de Polignac number, because 15460400385 - 2² = 15460400381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15460400381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004367 + ... + 1019643.

It is an arithmetic number, because the mean of its divisors is an integer number (572405548).

Almost surely, 2^15460400385 is an apocalyptic number.

15460400385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15460400385 is a deficient number, since it is larger than the sum of its proper divisors (12015065919).

15460400385 is a wasteful number, since it uses less digits than its factorization.

15460400385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15854 (or 15851 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15460400385 in words is "fifteen billion, four hundred sixty million, four hundred thousand, three hundred eighty-five".