1149779904 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 281788416.

The previous prime is 1149779903. The next prime is 1149779909. The reversal of 1149779904 is 4099779411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149779903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14554137 + ... + 14554215.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^1149779904 is an apocalyptic number.

1149779904 is a gapful number since it is divisible by the number (14) 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 1149779904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1149779904 is an abundant number, since it is smaller than the sum of its proper divisors (2946732096).

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

1149779904 is a wasteful number, since it uses less digits than its factorization.

1149779904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 1149779904 is about 33908.4046218633. The cubic root of 1149779904 is about 1047.6227105652.

The spelling of 1149779904 in words is "one billion, one hundred forty-nine million, seven hundred seventy-nine thousand, nine hundred four".