1408350064 has 80 divisors (see below), whose sum is σ = 3035520000. Its totient is φ = 627644160.

The previous prime is 1408350049. The next prime is 1408350067. The reversal of 1408350064 is 4600538041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408350067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766642 + ... + 2767150.

It is an arithmetic number, because the mean of its divisors is an integer number (37944000).

Almost surely, 2^1408350064 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 1408350064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760000).

1408350064 is an abundant number, since it is smaller than the sum of its proper divisors (1627169936).

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

1408350064 is a wasteful number, since it uses less digits than its factorization.

1408350064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1408350064 is about 37527.9904071614. The cubic root of 1408350064 is about 1120.9086121690.

The spelling of 1408350064 in words is "one billion, four hundred eight million, three hundred fifty thousand, sixty-four".