840492576 has 288 divisors, whose sum is σ = 3011613696. Its totient is φ = 216000000.

The previous prime is 840492571. The next prime is 840492589. The reversal of 840492576 is 675294048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×840492576² = 1412855540622231552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (840492571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3348451 + ... + 3348701.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^840492576 is an apocalyptic number.

840492576 is the 14496-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840492576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

840492576 is an abundant number, since it is smaller than the sum of its proper divisors (2171121120).

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

840492576 is a wasteful number, since it uses less digits than its factorization.

840492576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 840492576 is about 28991.2499902988. The cubic root of 840492576 is about 943.7231904084.

The spelling of 840492576 in words is "eight hundred forty million, four hundred ninety-two thousand, five hundred seventy-six".