1452608640 has 320 divisors, whose sum is σ = 5930084160. Its totient is φ = 331941888.

The previous prime is 1452608627. The next prime is 1452608669. The reversal of 1452608640 is 468062541.

1452608640 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1452608640² = 4220143722005299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1452608595 and 1452608604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360879 + ... + 364881.

It is an arithmetic number, because the mean of its divisors is an integer number (18531513).

Almost surely, 2^1452608640 is an apocalyptic number.

1452608640 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 1452608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965042080).

1452608640 is an abundant number, since it is smaller than the sum of its proper divisors (4477475520).

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

1452608640 is an equidigital number, since it uses as much as digits as its factorization.

1452608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1452608640 is about 38113.1032585907. The cubic root of 1452608640 is about 1132.5295461788.

The spelling of 1452608640 in words is "one billion, four hundred fifty-two million, six hundred eight thousand, six hundred forty".