814749840 has 120 divisors (see below), whose sum is σ = 2837610048. Its totient is φ = 217261440.

The previous prime is 814749839. The next prime is 814749863. The reversal of 814749840 is 48947418.

814749840 is a `hidden beast` number, since 81 + 47 + 498 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516 + ... + 40395.

Almost surely, 2^814749840 is an apocalyptic number.

814749840 is a gapful number since it is divisible by the number (80) 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 814749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418805024).

814749840 is an abundant number, since it is smaller than the sum of its proper divisors (2022860208).

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

814749840 is a wasteful number, since it uses less digits than its factorization.

814749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41939 (or 41921 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 814749840 is about 28543.8231496764. The cubic root of 814749840 is about 933.9882829240.

The spelling of 814749840 in words is "eight hundred fourteen million, seven hundred forty-nine thousand, eight hundred forty".