1405950016 has 63 divisors (see below), whose sum is σ = 2882768301. Its totient is φ = 680327424.

The previous prime is 1405949981. The next prime is 1405950041. The reversal of 1405950016 is 6100595041.

The square root of 1405950016 is 37496.

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., 979940416 + 426009600 = 31304^2 + 20640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1405950016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12898570 + ... + 12898678.

It is an arithmetic number, because the mean of its divisors is an integer number (45758227).

Almost surely, 2^1405950016 is an apocalyptic number.

1405950016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1405950016 is the 37496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405950016

1405950016 is an abundant number, since it is smaller than the sum of its proper divisors (1476818285).

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

1405950016 is an frugal number, since it uses more digits than its factorization.

1405950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 1405950016 is about 1120.2715158052.

The spelling of 1405950016 in words is "one billion, four hundred five million, nine hundred fifty thousand, sixteen".