1504074096 has 200 divisors, whose sum is σ = 5147572320. Its totient is φ = 414844416.

The previous prime is 1504074073. The next prime is 1504074107. The reversal of 1504074096 is 6904704051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1504074096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260230 + ... + 265946.

Almost surely, 2^1504074096 is an apocalyptic number.

1504074096 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 1504074096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573786160).

1504074096 is an abundant number, since it is smaller than the sum of its proper divisors (3643498224).

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

1504074096 is a wasteful number, since it uses less digits than its factorization.

1504074096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1504074096 is about 38782.3941499232. The cubic root of 1504074096 is about 1145.7496780635.

The spelling of 1504074096 in words is "one billion, five hundred four million, seventy-four thousand, ninety-six".