1406681400 has 48 divisors (see below), whose sum is σ = 4360714200. Its totient is φ = 375114880.

The previous prime is 1406681383. The next prime is 1406681443. The reversal of 1406681400 is 41866041.

It is a super-2 number, since 2×1406681400² = 3957505122211920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1171635 + ... + 1172834.

Almost surely, 2^1406681400 is an apocalyptic number.

1406681400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406681400 is an abundant number, since it is smaller than the sum of its proper divisors (2954032800).

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

1406681400 is a wasteful number, since it uses less digits than its factorization.

1406681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344488 (or 2344479 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1406681400 is about 37505.7515589276. The cubic root of 1406681400 is about 1120.4657395488.

The spelling of 1406681400 in words is "one billion, four hundred six million, six hundred eighty-one thousand, four hundred".