1405650064 has 135 divisors (see below), whose sum is σ = 3464166393. Its totient is φ = 550682496.

The previous prime is 1405650061. The next prime is 1405650131. The reversal of 1405650064 is 4600565041.

The square root of 1405650064 is 37492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 207936400 + 1197713664 = 14420^2 + 34608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1405650061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13647037 + ... + 13647139.

Almost surely, 2^1405650064 is an apocalyptic number.

1405650064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1405650064 is the 37492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405650064

1405650064 is an abundant number, since it is smaller than the sum of its proper divisors (2058516329).

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

1405650064 is a wasteful number, since it uses less digits than its factorization.

1405650064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 1405650064 is about 1120.1918421379.

Multiplying 1405650064 by its product of nonzero digits (14400), we get a square (20241360921600 = 4499040²).

The spelling of 1405650064 in words is "one billion, four hundred five million, six hundred fifty thousand, sixty-four".