1504494000 has 400 divisors, whose sum is σ = 5603453856. Its totient is φ = 388800000.

The previous prime is 1504493941. The next prime is 1504494001. The reversal of 1504494000 is 4944051.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1504494001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5993875 + ... + 5994125.

Almost surely, 2^1504494000 is an apocalyptic number.

1504494000 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 1504494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801726928).

1504494000 is an abundant number, since it is smaller than the sum of its proper divisors (4098959856).

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

1504494000 is a wasteful number, since it uses less digits than its factorization.

1504494000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1504494000 is about 38787.8073626236. The cubic root of 1504494000 is about 1145.8562907430.

It can be divided in two parts, 150449 and 4000, that added together give a square (154449 = 393²).

The spelling of 1504494000 in words is "one billion, five hundred four million, four hundred ninety-four thousand".