1407164472 has 192 divisors, whose sum is σ = 4784832000. Its totient is φ = 364269312.

The previous prime is 1407164459. The next prime is 1407164489. The reversal of 1407164472 is 2744617041.

It is a happy number.

1407164472 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 1 + 644 + 7 + 2 = 666.

It is a super-2 number, since 2×1407164472² = 3960223702518077568, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217054 + ... + 223442.

It is an arithmetic number, because the mean of its divisors is an integer number (24921000).

Almost surely, 2^1407164472 is an apocalyptic number.

1407164472 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 1407164472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392416000).

1407164472 is an abundant number, since it is smaller than the sum of its proper divisors (3377667528).

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

1407164472 is a wasteful number, since it uses less digits than its factorization.

1407164472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6443 counting only the distinct ones).

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

The square root of 1407164472 is about 37512.1909784006. The cubic root of 1407164472 is about 1120.5939855228.

The spelling of 1407164472 in words is "one billion, four hundred seven million, one hundred sixty-four thousand, four hundred seventy-two".