1504828416 has 264 divisors, whose sum is σ = 5031198480. Its totient is φ = 396361728.

The previous prime is 1504828411. The next prime is 1504828421. The reversal of 1504828416 is 6148284051.

It is an interprime number because it is at equal distance from previous prime (1504828411) and next prime (1504828421).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504828411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956480 + ... + 1957248.

It is an arithmetic number, because the mean of its divisors is an integer number (19057570).

Almost surely, 2^1504828416 is an apocalyptic number.

1504828416 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 1504828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515599240).

1504828416 is an abundant number, since it is smaller than the sum of its proper divisors (3526370064).

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

1504828416 is a wasteful number, since it uses less digits than its factorization.

1504828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1504828416 is about 38792.1179622871. The cubic root of 1504828416 is about 1145.9411840225.

The spelling of 1504828416 in words is "one billion, five hundred four million, eight hundred twenty-eight thousand, four hundred sixteen".