1456150400 has 48 divisors (see below), whose sum is σ = 3597154440. Its totient is φ = 582458880.

The previous prime is 1456150393. The next prime is 1456150403. The reversal of 1456150400 is 40516541.

It is a self number, because there is not a number n which added to its sum of digits gives 1456150400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456150403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224324 + ... + 230723.

Almost surely, 2^1456150400 is an apocalyptic number.

1456150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456150400 is an abundant number, since it is smaller than the sum of its proper divisors (2141004040).

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

1456150400 is an equidigital number, since it uses as much as digits as its factorization.

1456150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455071 (or 455054 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1456150400 is about 38159.5387812798. The cubic root of 1456150400 is about 1133.4492461222.

Adding to 1456150400 its reverse (40516541), we get a palindrome (1496666941).

The spelling of 1456150400 in words is "one billion, four hundred fifty-six million, one hundred fifty thousand, four hundred".