1456888890 has 32 divisors (see below), whose sum is σ = 3497552640. Its totient is φ = 388390464.

The previous prime is 1456888847. The next prime is 1456888903. The reversal of 1456888890 is 988886541.

It is a self number, because there is not a number n which added to its sum of digits gives 1456888890.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171012 + ... + 179328.

It is an arithmetic number, because the mean of its divisors is an integer number (109298520).

Almost surely, 2^1456888890 is an apocalyptic number.

1456888890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1456888890 is an abundant number, since it is smaller than the sum of its proper divisors (2040663750).

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

1456888890 is a wasteful number, since it uses less digits than its factorization.

1456888890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166.

The product of its (nonzero) digits is 4423680, while the sum is 57.

The square root of 1456888890 is about 38169.2139033541. The cubic root of 1456888890 is about 1133.6408241971.

It can be divided in two parts, 1456888 and 890, that added together give a triangular number (1457778 = T₁₇₀₇).

The spelling of 1456888890 in words is "one billion, four hundred fifty-six million, eight hundred eighty-eight thousand, eight hundred ninety".