1236494400 has 336 divisors, whose sum is σ = 4264810368. Its totient is φ = 313344000.

The previous prime is 1236494387. The next prime is 1236494417. The reversal of 1236494400 is 44946321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12004749 + ... + 12004851.

It is an arithmetic number, because the mean of its divisors is an integer number (12692888).

Almost surely, 2^1236494400 is an apocalyptic number.

1236494400 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 1236494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132405184).

1236494400 is an abundant number, since it is smaller than the sum of its proper divisors (3028315968).

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

1236494400 is a wasteful number, since it uses less digits than its factorization.

1236494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1236494400 is about 35163.8223178311. The cubic root of 1236494400 is about 1073.3236971302.

It can be divided in two parts, 1236 and 494400, that multiplied together give a square (611078400 = 24720²).

The spelling of 1236494400 in words is "one billion, two hundred thirty-six million, four hundred ninety-four thousand, four hundred".