1406331672 has 32 divisors (see below), whose sum is σ = 3516825600. Its totient is φ = 468644384.

The previous prime is 1406331649. The next prime is 1406331677. The reversal of 1406331672 is 2761336041.

1406331672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406331677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116329 + ... + 127847.

It is an arithmetic number, because the mean of its divisors is an integer number (109900800).

Almost surely, 2^1406331672 is an apocalyptic number.

1406331672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406331672 is an abundant number, since it is smaller than the sum of its proper divisors (2110493928).

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

1406331672 is a wasteful number, since it uses less digits than its factorization.

1406331672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16615 (or 16611 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1406331672 is about 37501.0889441893. The cubic root of 1406331672 is about 1120.3728754217.

It can be divided in two parts, 1406331 and 672, that added together give a triangular number (1407003 = T₁₆₇₇).

The spelling of 1406331672 in words is "one billion, four hundred six million, three hundred thirty-one thousand, six hundred seventy-two".