15406420 has 48 divisors (see below), whose sum is σ = 34645968. Its totient is φ = 5734400.

The previous prime is 15406399. The next prime is 15406429. The reversal of 15406420 is 2460451.

15406420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 133956 + 15272464 = 366^2 + 3908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15406391 and 15406400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15406429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38220 + ... + 38620.

It is an arithmetic number, because the mean of its divisors is an integer number (721791).

Almost surely, 2^15406420 is an apocalyptic number.

15406420 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 15406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322984).

15406420 is an abundant number, since it is smaller than the sum of its proper divisors (19239548).

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

15406420 is a wasteful number, since it uses less digits than its factorization.

15406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 15406420 is about 3925.1012725788. The cubic root of 15406420 is about 248.8287613694.

Adding to 15406420 its reverse (2460451), we get a palindrome (17866871).

The spelling of 15406420 in words is "fifteen million, four hundred six thousand, four hundred twenty".