1406052864 has 320 divisors, whose sum is σ = 4572564480. Its totient is φ = 424673280.

The previous prime is 1406052863. The next prime is 1406052871. The reversal of 1406052864 is 4682506041.

1406052864 is a `hidden beast` number, since 1 + 40 + 605 + 2 + 8 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1406052863) 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 31 ways as a sum of consecutive naturals, for example, 7285152 + ... + 7285344.

It is an arithmetic number, because the mean of its divisors is an integer number (14289264).

Almost surely, 2^1406052864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286282240).

1406052864 is an abundant number, since it is smaller than the sum of its proper divisors (3166511616).

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

1406052864 is a wasteful number, since it uses less digits than its factorization.

1406052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1406052864 is about 37497.3714278748. The cubic root of 1406052864 is about 1120.2988318250.

The spelling of 1406052864 in words is "one billion, four hundred six million, fifty-two thousand, eight hundred sixty-four".