1455052400 has 60 divisors (see below), whose sum is σ = 3548004312. Its totient is φ = 573323520.

The previous prime is 1455052399. The next prime is 1455052411. The reversal of 1455052400 is 42505541.

It is a self number, because there is not a number n which added to its sum of digits gives 1455052400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347 + ... + 53946.

Almost surely, 2^1455052400 is an apocalyptic number.

1455052400 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 1455052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774002156).

1455052400 is an abundant number, since it is smaller than the sum of its proper divisors (2092951912).

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

1455052400 is a wasteful number, since it uses less digits than its factorization.

1455052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54378 (or 54367 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 1455052400 is about 38145.1491018190. The cubic root of 1455052400 is about 1133.1642846667.

Adding to 1455052400 its reverse (42505541), we get a palindrome (1497557941).

The spelling of 1455052400 in words is "one billion, four hundred fifty-five million, fifty-two thousand, four hundred".