1299542400 has 576 divisors, whose sum is σ = 5207814000. Its totient is φ = 316293120.

The previous prime is 1299542393. The next prime is 1299542429. The reversal of 1299542400 is 42459921.

1299542400 is a `hidden beast` number, since 129 + 95 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14601556 + ... + 14601644.

Almost surely, 2^1299542400 is an apocalyptic number.

1299542400 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 1299542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603907000).

1299542400 is an abundant number, since it is smaller than the sum of its proper divisors (3908271600).

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

1299542400 is a wasteful number, since it uses less digits than its factorization.

1299542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1299542400 is about 36049.1664258690. The cubic root of 1299542400 is about 1091.2648112679.

The spelling of 1299542400 in words is "one billion, two hundred ninety-nine million, five hundred forty-two thousand, four hundred".