1149494400 has 288 divisors, whose sum is σ = 4143484800. Its totient is φ = 303421440.

The previous prime is 1149494387. The next prime is 1149494443. The reversal of 1149494400 is 44949411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4809481 + ... + 4809719.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100).

Almost surely, 2^1149494400 is an apocalyptic number.

1149494400 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 1149494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071742400).

1149494400 is an abundant number, since it is smaller than the sum of its proper divisors (2993990400).

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

1149494400 is a wasteful number, since it uses less digits than its factorization.

1149494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1149494400 is about 33904.1944307780. The cubic root of 1149494400 is about 1047.5359910016.

The spelling of 1149494400 in words is "one billion, one hundred forty-nine million, four hundred ninety-four thousand, four hundred".