1504607040 has 168 divisors, whose sum is σ = 5189832648. Its totient is φ = 400097280.

The previous prime is 1504607011. The next prime is 1504607047. The reversal of 1504607040 is 407064051.

1504607040 is a `hidden beast` number, since 1 + 50 + 4 + 607 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61214976 + 1443392064 = 7824^2 + 37992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1504606995 and 1504607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504607047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707400 + ... + 1708280.

It is an arithmetic number, because the mean of its divisors is an integer number (30891861).

Almost surely, 2^1504607040 is an apocalyptic number.

1504607040 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 1504607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594916324).

1504607040 is an abundant number, since it is smaller than the sum of its proper divisors (3685225608).

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

1504607040 is a wasteful number, since it uses less digits than its factorization.

1504607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1504607040 is about 38789.2644941870. The cubic root of 1504607040 is about 1145.8849879553.

The spelling of 1504607040 in words is "one billion, five hundred four million, six hundred seven thousand, forty".