1455212400 has 60 divisors (see below), whose sum is σ = 4661534232. Its totient is φ = 388056320.

The previous prime is 1455212399. The next prime is 1455212417. The reversal of 1455212400 is 42125541.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1455212400² = 4235286258227520000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605139 + ... + 607538.

Almost surely, 2^1455212400 is an apocalyptic number.

1455212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1455212400 is an abundant number, since it is smaller than the sum of its proper divisors (3206321832).

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

1455212400 is a wasteful number, since it uses less digits than its factorization.

1455212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212698 (or 1212687 counting only the distinct ones).

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

The square root of 1455212400 is about 38147.2462964235. The cubic root of 1455212400 is about 1133.2058180255.

Adding to 1455212400 its reverse (42125541), we get a palindrome (1497337941).

The spelling of 1455212400 in words is "one billion, four hundred fifty-five million, two hundred twelve thousand, four hundred".