1215494400 has 432 divisors, whose sum is σ = 4334097600. Its totient is φ = 299335680.

The previous prime is 1215494393. The next prime is 1215494411. The reversal of 1215494400 is 44945121.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 20601571 + ... + 20601629.

Almost surely, 2^1215494400 is an apocalyptic number.

1215494400 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 1215494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167048800).

1215494400 is an abundant number, since it is smaller than the sum of its proper divisors (3118603200).

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

1215494400 is a wasteful number, since it uses less digits than its factorization.

1215494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1215494400 is about 34863.9412574081. The cubic root of 1215494400 is about 1067.2127065388.

The spelling of 1215494400 in words is "one billion, two hundred fifteen million, four hundred ninety-four thousand, four hundred".