1215254400 has 192 divisors, whose sum is σ = 4025984880. Its totient is φ = 322191360.

The previous prime is 1215254371. The next prime is 1215254413. The reversal of 1215254400 is 44525121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2658972 + ... + 2659428.

Almost surely, 2^1215254400 is an apocalyptic number.

1215254400 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 1215254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012992440).

1215254400 is an abundant number, since it is smaller than the sum of its proper divisors (2810730480).

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

1215254400 is a wasteful number, since it uses less digits than its factorization.

1215254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1215254400 is about 34860.4991358414. The cubic root of 1215254400 is about 1067.1424613478.

Adding to 1215254400 its reverse (44525121), we get a palindrome (1259779521).

The spelling of 1215254400 in words is "one billion, two hundred fifteen million, two hundred fifty-four thousand, four hundred".