15400416 has 48 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 5044608.

The previous prime is 15400391. The next prime is 15400433. The reversal of 15400416 is 61400451.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 15400392 and 15400401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4305 + ... + 7023.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 2^15400416 is an apocalyptic number.

15400416 is a gapful number since it is divisible by the number (16) 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 15400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

15400416 is an abundant number, since it is smaller than the sum of its proper divisors (25725984).

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

15400416 is a wasteful number, since it uses less digits than its factorization.

15400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 15400416 is about 3924.3363770197. The cubic root of 15400416 is about 248.7964336775.

Adding to 15400416 its reverse (61400451), we get a palindrome (76800867).

The spelling of 15400416 in words is "fifteen million, four hundred thousand, four hundred sixteen".