1509256420 has 24 divisors (see below), whose sum is σ = 3622215744. Its totient is φ = 517459296.

The previous prime is 1509256409. The next prime is 1509256423. The reversal of 1509256420 is 246529051.

It is a happy number.

It is a super-2 number, since 2×1509256420² = 4555709882622432800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1509256423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5390062 + ... + 5390341.

It is an arithmetic number, because the mean of its divisors is an integer number (150925656).

Almost surely, 2^1509256420 is an apocalyptic number.

1509256420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1509256420 is an abundant number, since it is smaller than the sum of its proper divisors (2112959324).

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

1509256420 is a wasteful number, since it uses less digits than its factorization.

1509256420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10780419 (or 10780417 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1509256420 is about 38849.1495402409. The cubic root of 1509256420 is about 1147.0640724495.

The spelling of 1509256420 in words is "one billion, five hundred nine million, two hundred fifty-six thousand, four hundred twenty".