1504013790 has 16 divisors (see below), whose sum is σ = 3609633168. Its totient is φ = 401070336.

The previous prime is 1504013779. The next prime is 1504013821. The reversal of 1504013790 is 973104051.

It is a super-3 number, since 3×1504013790³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 50133793 = 1504013790 / (1 + 5 + 0 + 4 + 0 + 1 + 3 + 7 + 9 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25066867 + ... + 25066926.

It is an arithmetic number, because the mean of its divisors is an integer number (225602073).

Almost surely, 2^1504013790 is an apocalyptic number.

1504013790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1504013790 is an abundant number, since it is smaller than the sum of its proper divisors (2105619378).

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

1504013790 is a wasteful number, since it uses less digits than its factorization.

1504013790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50133803.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1504013790 is about 38781.6166501604. The cubic root of 1504013790 is about 1145.7343648765.

The spelling of 1504013790 in words is "one billion, five hundred four million, thirteen thousand, seven hundred ninety".