1407481920 has 280 divisors, whose sum is σ = 5393079384. Its totient is φ = 346374144.

The previous prime is 1407481913. The next prime is 1407481927. The reversal of 1407481920 is 291847041.

It is an interprime number because it is at equal distance from previous prime (1407481913) and next prime (1407481927).

It can be written as a sum of positive squares in 4 ways, for example, as 193098816 + 1214383104 = 13896^2 + 34848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1407481927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334872 + ... + 339048.

Almost surely, 2^1407481920 is an apocalyptic number.

1407481920 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 1407481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696539692).

1407481920 is an abundant number, since it is smaller than the sum of its proper divisors (3985597464).

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

1407481920 is a wasteful number, since it uses less digits than its factorization.

1407481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1407481920 is about 37516.4220042370. The cubic root of 1407481920 is about 1120.6782456501.

The spelling of 1407481920 in words is "one billion, four hundred seven million, four hundred eighty-one thousand, nine hundred twenty".