1452408000 has 224 divisors, whose sum is σ = 4867412160. Its totient is φ = 381542400.

The previous prime is 1452407989. The next prime is 1452408011. The reversal of 1452408000 is 8042541.

It is an interprime number because it is at equal distance from previous prime (1452407989) and next prime (1452408011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751586 + ... + 1752414.

Almost surely, 2^1452408000 is an apocalyptic number.

1452408000 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 1452408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433706080).

1452408000 is an abundant number, since it is smaller than the sum of its proper divisors (3415004160).

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

1452408000 is an equidigital number, since it uses as much as digits as its factorization.

1452408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1452408000 is about 38110.4710020750. The cubic root of 1452408000 is about 1132.4774006377.

The spelling of 1452408000 in words is "one billion, four hundred fifty-two million, four hundred eight thousand".