1406316672 has 48 divisors (see below), whose sum is σ = 4046826030. Its totient is φ = 468771840.

The previous prime is 1406316671. The next prime is 1406316701. The reversal of 1406316672 is 2766136041.

It is a happy number.

1406316672 is a `hidden beast` number, since 14 + 0 + 631 + 6 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1098524736 + 307791936 = 33144^2 + 17544^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (1406316671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 609229 + ... + 611532.

Almost surely, 2^1406316672 is an apocalyptic number.

1406316672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406316672 is an abundant number, since it is smaller than the sum of its proper divisors (2640509358).

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

1406316672 is a wasteful number, since it uses less digits than its factorization.

1406316672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220781 (or 1220766 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1406316672 is about 37500.8889494636. Note that the first 3 decimals coincide. The cubic root of 1406316672 is about 1120.3688920909.

The spelling of 1406316672 in words is "one billion, four hundred six million, three hundred sixteen thousand, six hundred seventy-two".