1406994624 has 420 divisors, whose sum is σ = 5045293440. Its totient is φ = 386104320.

The previous prime is 1406994623. The next prime is 1406994637. The reversal of 1406994624 is 4264996041.

1406994624 is a `hidden beast` number, since 14 + 0 + 6 + 9 + 9 + 4 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1406994624.

It is not an unprimeable number, because it can be changed into a prime (1406994623) 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 59 ways as a sum of consecutive naturals, for example, 7366369 + ... + 7366559.

Almost surely, 2^1406994624 is an apocalyptic number.

1406994624 is a gapful number since it is divisible by the number (14) 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 1406994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522646720).

1406994624 is an abundant number, since it is smaller than the sum of its proper divisors (3638298816).

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

1406994624 is a wasteful number, since it uses less digits than its factorization.

1406994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1406994624 is about 37509.9270060607. The cubic root of 1406994624 is about 1120.5488976150.

The spelling of 1406994624 in words is "one billion, four hundred six million, nine hundred ninety-four thousand, six hundred twenty-four".