1407165480 has 256 divisors, whose sum is σ = 5676480000. Its totient is φ = 302690304.

The previous prime is 1407165449. The next prime is 1407165491. The reversal of 1407165480 is 845617041.

It is a happy number.

1407165480 is a `hidden beast` number, since 1 + 40 + 71 + 6 + 548 + 0 = 666.

1407165480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1407165480² = 3960229376207260800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123046 + ... + 133994.

It is an arithmetic number, because the mean of its divisors is an integer number (22173750).

Almost surely, 2^1407165480 is an apocalyptic number.

1407165480 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 1407165480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838240000).

1407165480 is an abundant number, since it is smaller than the sum of its proper divisors (4269314520).

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

1407165480 is a wasteful number, since it uses less digits than its factorization.

1407165480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10993 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1407165480 is about 37512.2044140304. The cubic root of 1407165480 is about 1120.5942530960.

The spelling of 1407165480 in words is "one billion, four hundred seven million, one hundred sixty-five thousand, four hundred eighty".