1407144500 has 48 divisors (see below), whose sum is σ = 3078483408. Its totient is φ = 561891200.

The previous prime is 1407144493. The next prime is 1407144517. The reversal of 1407144500 is 54417041.

It can be written as a sum of positive squares in 8 ways, for example, as 102779044 + 1304365456 = 10138^2 + 36116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1407144500.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 336422 + ... + 340578.

It is an arithmetic number, because the mean of its divisors is an integer number (64135071).

Almost surely, 2^1407144500 is an apocalyptic number.

1407144500 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 1407144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539241704).

1407144500 is an abundant number, since it is smaller than the sum of its proper divisors (1671338908).

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

1407144500 is a wasteful number, since it uses less digits than its factorization.

1407144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 1407144500 is about 37511.9247706646. The cubic root of 1407144500 is about 1120.5886839371.

The spelling of 1407144500 in words is "one billion, four hundred seven million, one hundred forty-four thousand, five hundred".