814270464 has 144 divisors (see below), whose sum is σ = 2688154560. Its totient is φ = 232611840.

The previous prime is 814270409. The next prime is 814270481. The reversal of 814270464 is 464072418.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125869 + ... + 132179.

It is an arithmetic number, because the mean of its divisors is an integer number (18667740).

Almost surely, 2^814270464 is an apocalyptic number.

814270464 is a gapful number since it is divisible by the number (84) 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 814270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344077280).

814270464 is an abundant number, since it is smaller than the sum of its proper divisors (1873884096).

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

814270464 is a wasteful number, since it uses less digits than its factorization.

814270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 814270464 is about 28535.4247208623. The cubic root of 814270464 is about 933.8050694660.

It can be divided in two parts, 8142 and 70464, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 814270464 in words is "eight hundred fourteen million, two hundred seventy thousand, four hundred sixty-four".