1456153400 has 96 divisors (see below), whose sum is σ = 3671119200. Its totient is φ = 533952000.

The previous prime is 1456153399. The next prime is 1456153441. The reversal of 1456153400 is 43516541.

It is a happy number.

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, 390746 + ... + 394454.

It is an arithmetic number, because the mean of its divisors is an integer number (38240825).

Almost surely, 2^1456153400 is an apocalyptic number.

1456153400 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 1456153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835559600).

1456153400 is an abundant number, since it is smaller than the sum of its proper divisors (2214965800).

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

1456153400 is a wasteful number, since it uses less digits than its factorization.

1456153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1456153400 is about 38159.5780899108. The cubic root of 1456153400 is about 1133.4500245092.

Adding to 1456153400 its reverse (43516541), we get a palindrome (1499669941).

The spelling of 1456153400 in words is "one billion, four hundred fifty-six million, one hundred fifty-three thousand, four hundred".