15406474400 has 216 divisors, whose sum is σ = 41056223796. Its totient is φ = 5640192000.

The previous prime is 15406474381. The next prime is 15406474403. The reversal of 15406474400 is 447460451.

It can be written as a sum of positive squares in 18 ways, for example, as 455054224 + 14951420176 = 21332^2 + 122276^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (15406474403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8553500 + ... + 8555300.

Almost surely, 2^15406474400 is an apocalyptic number.

15406474400 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 15406474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528111898).

15406474400 is an abundant number, since it is smaller than the sum of its proper divisors (25649749396).

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

15406474400 is a wasteful number, since it uses less digits than its factorization.

15406474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 15406474400 in words is "fifteen billion, four hundred six million, four hundred seventy-four thousand, four hundred".