1406461072 has 40 divisors (see below), whose sum is σ = 2839318272. Its totient is φ = 674160000.

The previous prime is 1406461033. The next prime is 1406461093. The reversal of 1406461072 is 2701646041.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39822 + ... + 66322.

Almost surely, 2^1406461072 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 1406461072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419659136).

1406461072 is an abundant number, since it is smaller than the sum of its proper divisors (1432857200).

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

1406461072 is a wasteful number, since it uses less digits than its factorization.

1406461072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26647 (or 26641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1406461072 is about 37502.8141877380. The cubic root of 1406461072 is about 1120.4072371129.

The spelling of 1406461072 in words is "one billion, four hundred six million, four hundred sixty-one thousand, seventy-two".