1456196400 has 240 divisors, whose sum is σ = 5234759200. Its totient is φ = 384445440.

The previous prime is 1456196381. The next prime is 1456196407. The reversal of 1456196400 is 46916541.

1456196400 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 1 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1456196407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176582 + ... + 1177818.

Almost surely, 2^1456196400 is an apocalyptic number.

1456196400 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 1456196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617379600).

1456196400 is an abundant number, since it is smaller than the sum of its proper divisors (3778562800).

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

1456196400 is a wasteful number, since it uses less digits than its factorization.

1456196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1356 counting only the distinct ones).

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

The square root of 1456196400 is about 38160.1415091716. The cubic root of 1456196400 is about 1133.4611812713.

The spelling of 1456196400 in words is "one billion, four hundred fifty-six million, one hundred ninety-six thousand, four hundred".