1834494480 has 960 divisors, whose sum is σ = 8462458368. Its totient is φ = 358318080.

The previous prime is 1834494443. The next prime is 1834494547. The reversal of 1834494480 is 844944381.

1834494480 is a `hidden beast` number, since 1 + 83 + 4 + 4 + 94 + 480 = 666.

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 191 ways as a sum of consecutive naturals, for example, 30073650 + ... + 30073710.

Almost surely, 2^1834494480 is an apocalyptic number.

1834494480 is a gapful number since it is divisible by the number (10) 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 1834494480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231229184).

1834494480 is an abundant number, since it is smaller than the sum of its proper divisors (6627963888).

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

1834494480 is a wasteful number, since it uses less digits than its factorization.

1834494480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1834494480 is about 42830.9990544232. Note that the first 3 decimals coincide. The cubic root of 1834494480 is about 1224.1617433317.

The spelling of 1834494480 in words is "one billion, eight hundred thirty-four million, four hundred ninety-four thousand, four hundred eighty".