1406396160 has 216 divisors, whose sum is σ = 5240848704. Its totient is φ = 346152960.

The previous prime is 1406396149. The next prime is 1406396183. The reversal of 1406396160 is 616936041.

1406396160 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 39 + 616 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 145065 + ... + 154455.

Almost surely, 2^1406396160 is an apocalyptic number.

1406396160 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 1406396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620424352).

1406396160 is an abundant number, since it is smaller than the sum of its proper divisors (3834452544).

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

1406396160 is a wasteful number, since it uses less digits than its factorization.

1406396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1406396160 is about 37501.9487493650. The cubic root of 1406396160 is about 1120.3900002349.

The spelling of 1406396160 in words is "one billion, four hundred six million, three hundred ninety-six thousand, one hundred sixty".