1407495852 has 144 divisors (see below), whose sum is σ = 4353370112. Its totient is φ = 389111040.

The previous prime is 1407495797. The next prime is 1407495857. The reversal of 1407495852 is 2585947041.

It is a junction number, because it is equal to n+sod(n) for n = 1407495798 and 1407495807.

It is not an unprimeable number, because it can be changed into a prime (1407495857) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 207588 + ... + 214260.

Almost surely, 2^1407495852 is an apocalyptic number.

1407495852 is a gapful number since it is divisible by the number (12) 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 1407495852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176685056).

1407495852 is an abundant number, since it is smaller than the sum of its proper divisors (2945874260).

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

1407495852 is a wasteful number, since it uses less digits than its factorization.

1407495852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1407495852 is about 37516.6076824651. The cubic root of 1407495852 is about 1120.6819433264.

The spelling of 1407495852 in words is "one billion, four hundred seven million, four hundred ninety-five thousand, eight hundred fifty-two".