1452349440 has 480 divisors, whose sum is σ = 5565399840. Its totient is φ = 360972288.

The previous prime is 1452349429. The next prime is 1452349441. The reversal of 1452349440 is 449432541.

1452349440 is a `hidden beast` number, since 1 + 4 + 523 + 4 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1452349395 and 1452349404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452349441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100429 + ... + 14100531.

It is an arithmetic number, because the mean of its divisors is an integer number (11594583).

Almost surely, 2^1452349440 is an apocalyptic number.

1452349440 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 1452349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782699920).

1452349440 is an abundant number, since it is smaller than the sum of its proper divisors (4113050400).

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

1452349440 is a wasteful number, since it uses less digits than its factorization.

1452349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1452349440 is about 38109.7027015431. The cubic root of 1452349440 is about 1132.4621802203.

1452349440 divided by its product of nonzero digits (69120) gives a palindrome (21012).

The spelling of 1452349440 in words is "one billion, four hundred fifty-two million, three hundred forty-nine thousand, four hundred forty".