1406664400 has 30 divisors (see below), whose sum is σ = 3379512182. Its totient is φ = 562665600.

The previous prime is 1406664377. The next prime is 1406664407. The reversal of 1406664400 is 44666041.

It can be written as a sum of positive squares in 3 ways, for example, as 184742464 + 1221921936 = 13592^2 + 34956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406664407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1757931 + ... + 1758730.

Almost surely, 2^1406664400 is an apocalyptic number.

1406664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406664400 is an abundant number, since it is smaller than the sum of its proper divisors (1972847782).

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

1406664400 is a wasteful number, since it uses less digits than its factorization.

1406664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516679 (or 3516668 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1406664400 is about 37505.5249263359. The cubic root of 1406664400 is about 1120.4612258534.

The spelling of 1406664400 in words is "one billion, four hundred six million, six hundred sixty-four thousand, four hundred".