1407447664 has 40 divisors (see below), whose sum is σ = 3118595040. Its totient is φ = 602784768.

The previous prime is 1407447661. The next prime is 1407447673. The reversal of 1407447664 is 4667447041.

It is a self number, because there is not a number n which added to its sum of digits gives 1407447664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407447661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 210972 + ... + 217540.

It is an arithmetic number, because the mean of its divisors is an integer number (77964876).

Almost surely, 2^1407447664 is an apocalyptic number.

1407447664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1407447664 is an abundant number, since it is smaller than the sum of its proper divisors (1711147376).

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

1407447664 is a wasteful number, since it uses less digits than its factorization.

1407447664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The square root of 1407447664 is about 37515.9654547234. The cubic root of 1407447664 is about 1120.6691537001.

The spelling of 1407447664 in words is "one billion, four hundred seven million, four hundred forty-seven thousand, six hundred sixty-four".