1406465136 has 60 divisors (see below), whose sum is σ = 3956009200. Its totient is φ = 466456320.

The previous prime is 1406465077. The next prime is 1406465141. The reversal of 1406465136 is 6315646041.

It is a happy number.

1406465136 is a `hidden beast` number, since 1 + 4 + 0 + 646 + 5 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1406465136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4116 + ... + 53196.

Almost surely, 2^1406465136 is an apocalyptic number.

1406465136 is a gapful number since it is divisible by the number (16) 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 1406465136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978004600).

1406465136 is an abundant number, since it is smaller than the sum of its proper divisors (2549544064).

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

1406465136 is a wasteful number, since it uses less digits than its factorization.

1406465136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49294 (or 49285 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1406465136 is about 37502.8683702994. The cubic root of 1406465136 is about 1120.4083162589.

The spelling of 1406465136 in words is "one billion, four hundred six million, four hundred sixty-five thousand, one hundred thirty-six".