1504465920 has 176 divisors, whose sum is σ = 5347091520. Its totient is φ = 401154048.

The previous prime is 1504465891. The next prime is 1504465927. The reversal of 1504465920 is 295644051.

1504465920 is a `hidden beast` number, since 1 + 504 + 4 + 65 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504465927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132799 + ... + 143681.

Almost surely, 2^1504465920 is an apocalyptic number.

1504465920 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 1504465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673545760).

1504465920 is an abundant number, since it is smaller than the sum of its proper divisors (3842625600).

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

1504465920 is a wasteful number, since it uses less digits than its factorization.

1504465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1504465920 is about 38787.4453915181. The cubic root of 1504465920 is about 1145.8491619132.

The spelling of 1504465920 in words is "one billion, five hundred four million, four hundred sixty-five thousand, nine hundred twenty".