1406454816 has 96 divisors (see below), whose sum is σ = 4073061888. Its totient is φ = 422184960.

The previous prime is 1406454809. The next prime is 1406454823. The reversal of 1406454816 is 6184546041.

It is an interprime number because it is at equal distance from previous prime (1406454809) and next prime (1406454823).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37425 + ... + 64911.

It is an arithmetic number, because the mean of its divisors is an integer number (42427728).

Almost surely, 2^1406454816 is an apocalyptic number.

1406454816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036530944).

1406454816 is an abundant number, since it is smaller than the sum of its proper divisors (2666607072).

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

1406454816 is a wasteful number, since it uses less digits than its factorization.

1406454816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27554 (or 27546 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1406454816 is about 37502.7307805712. The cubic root of 1406454816 is about 1120.4055759037.

The spelling of 1406454816 in words is "one billion, four hundred six million, four hundred fifty-four thousand, eight hundred sixteen".