15406480 has 20 divisors (see below), whose sum is σ = 35820252. Its totient is φ = 6162560.

The previous prime is 15406441. The next prime is 15406483. The reversal of 15406480 is 8460451.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 5089536 = 3212^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×15406480³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (15406483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96211 + ... + 96370.

Almost surely, 2^15406480 is an apocalyptic number.

15406480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15406480 is an abundant number, since it is smaller than the sum of its proper divisors (20413772).

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

15406480 is a wasteful number, since it uses less digits than its factorization.

15406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192594 (or 192588 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 15406480 is about 3925.1089156863. The cubic root of 15406480 is about 248.8290843885.

The spelling of 15406480 in words is "fifteen million, four hundred six thousand, four hundred eighty".