1407872340 has 480 divisors, whose sum is σ = 5473923840. Its totient is φ = 295612416.

The previous prime is 1407872339. The next prime is 1407872363. The reversal of 1407872340 is 432787041.

It is a happy number.

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 = 1407872295 and 1407872304.

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 159 ways as a sum of consecutive naturals, for example, 12916206 + ... + 12916314.

It is an arithmetic number, because the mean of its divisors is an integer number (11404008).

Almost surely, 2^1407872340 is an apocalyptic number.

1407872340 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 1407872340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736961920).

1407872340 is an abundant number, since it is smaller than the sum of its proper divisors (4066051500).

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

1407872340 is a wasteful number, since it uses less digits than its factorization.

1407872340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1407872340 is about 37521.6249648120. The cubic root of 1407872340 is about 1120.7818573424.

The spelling of 1407872340 in words is "one billion, four hundred seven million, eight hundred seventy-two thousand, three hundred forty".