482145840 has 240 divisors, whose sum is σ = 1870835616. Its totient is φ = 109977600.

The previous prime is 482145827. The next prime is 482145871. The reversal of 482145840 is 48541284.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×482145840² = 464929222058611200, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 482145795 and 482145804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132850 + ... + 136430.

Almost surely, 2^482145840 is an apocalyptic number.

482145840 is a gapful number since it is divisible by the number (40) 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 482145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935417808).

482145840 is an abundant number, since it is smaller than the sum of its proper divisors (1388689776).

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

482145840 is a wasteful number, since it uses less digits than its factorization.

482145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 482145840 is about 21957.8195638820. The cubic root of 482145840 is about 784.1385549233.

The spelling of 482145840 in words is "four hundred eighty-two million, one hundred forty-five thousand, eight hundred forty".