484934040 has 160 divisors (see below), whose sum is σ = 1647787680. Its totient is φ = 127899648.

The previous prime is 484934029. The next prime is 484934053. The reversal of 484934040 is 40439484.

It is a super-4 number, since 4×484934040⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 484933986 and 484934004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313509 + ... + 315051.

It is an arithmetic number, because the mean of its divisors is an integer number (10298673).

Almost surely, 2^484934040 is an apocalyptic number.

484934040 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 484934040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823893840).

484934040 is an abundant number, since it is smaller than the sum of its proper divisors (1162853640).

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

484934040 is a wasteful number, since it uses less digits than its factorization.

484934040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 484934040 is about 22021.2179499682. The cubic root of 484934040 is about 785.6471815497.

The spelling of 484934040 in words is "four hundred eighty-four million, nine hundred thirty-four thousand, forty".