1452420400 has 60 divisors (see below), whose sum is σ = 3524086944. Its totient is φ = 575200000.

The previous prime is 1452420397. The next prime is 1452420413. The reversal of 1452420400 is 40242541.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22425 + ... + 58375.

Almost surely, 2^1452420400 is an apocalyptic number.

1452420400 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 1452420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762043472).

1452420400 is an abundant number, since it is smaller than the sum of its proper divisors (2071666544).

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

1452420400 is a wasteful number, since it uses less digits than its factorization.

1452420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36070 (or 36059 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1452420400 is about 38110.6336866760. The cubic root of 1452420400 is about 1132.4806234878.

Adding to 1452420400 its reverse (40242541), we get a palindrome (1492662941).

The spelling of 1452420400 in words is "one billion, four hundred fifty-two million, four hundred twenty thousand, four hundred".