1405967990 has 64 divisors (see below), whose sum is σ = 2978325504. Its totient is φ = 467849088.

The previous prime is 1405967971. The next prime is 1405967993. The reversal of 1405967990 is 997695041.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405967993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501272 + ... + 504068.

It is an arithmetic number, because the mean of its divisors is an integer number (46536336).

Almost surely, 2^1405967990 is an apocalyptic number.

1405967990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1405967990 is an abundant number, since it is smaller than the sum of its proper divisors (1572357514).

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

1405967990 is a wasteful number, since it uses less digits than its factorization.

1405967990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021.

The product of its (nonzero) digits is 612360, while the sum is 50.

The square root of 1405967990 is about 37496.2396781331. The cubic root of 1405967990 is about 1120.2762897241.

The spelling of 1405967990 in words is "one billion, four hundred five million, nine hundred sixty-seven thousand, nine hundred ninety".