1249763904 has 105 divisors (see below), whose sum is σ = 3712252291. Its totient is φ = 415739520.

The previous prime is 1249763897. The next prime is 1249763923. The reversal of 1249763904 is 4093679421.

It is a happy number.

The square root of 1249763904 is 35352.

It is a perfect power (a square), and thus also a powerful number.

1249763904 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 7 + 639 + 0 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1249763904.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2545099 + ... + 2545589.

Almost surely, 2^1249763904 is an apocalyptic number.

1249763904 is the 35352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249763904

1249763904 is an abundant number, since it is smaller than the sum of its proper divisors (2462488387).

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

1249763904 is an frugal number, since it uses more digits than its factorization.

1249763904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 1249763904 is about 1077.1495202906.

The spelling of 1249763904 in words is "one billion, two hundred forty-nine million, seven hundred sixty-three thousand, nine hundred four".