1406232960 has 192 divisors, whose sum is σ = 4927713840. Its totient is φ = 340848640.

The previous prime is 1406232937. The next prime is 1406232967. The reversal of 1406232960 is 692326041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1406232960² = 3954982275580723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406232967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229294 + ... + 235346.

Almost surely, 2^1406232960 is an apocalyptic number.

1406232960 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 1406232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463856920).

1406232960 is an abundant number, since it is smaller than the sum of its proper divisors (3521480880).

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

1406232960 is a wasteful number, since it uses less digits than its factorization.

1406232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1406232960 is about 37499.7727993117. The cubic root of 1406232960 is about 1120.3466613981.

The spelling of 1406232960 in words is "one billion, four hundred six million, two hundred thirty-two thousand, nine hundred sixty".