1406966400 has 432 divisors, whose sum is σ = 5845889790. Its totient is φ = 321269760.

The previous prime is 1406966399. The next prime is 1406966443. The reversal of 1406966400 is 46696041.

1406966400 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 9 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1256560704 + 150405696 = 35448^2 + 12264^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1410702 + ... + 1411698.

Almost surely, 2^1406966400 is an apocalyptic number.

1406966400 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 1406966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922944895).

1406966400 is an abundant number, since it is smaller than the sum of its proper divisors (4438923390).

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

1406966400 is a wasteful number, since it uses less digits than its factorization.

1406966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1406966400 is about 37509.5507837671. The cubic root of 1406966400 is about 1120.5414049109.

The spelling of 1406966400 in words is "one billion, four hundred six million, nine hundred sixty-six thousand, four hundred".