483924000 has 288 divisors, whose sum is σ = 1846406016. Its totient is φ = 110476800.

The previous prime is 483923971. The next prime is 483924013. The reversal of 483924000 is 429384.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 587589 + ... + 588411.

It is an arithmetic number, because the mean of its divisors is an integer number (6411132).

Almost surely, 2^483924000 is an apocalyptic number.

483924000 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 483924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923203008).

483924000 is an abundant number, since it is smaller than the sum of its proper divisors (1362482016).

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

483924000 is a wasteful number, since it uses less digits than its factorization.

483924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 483924000 is about 21998.2726594612. The cubic root of 483924000 is about 785.1013432929.

The spelling of 483924000 in words is "four hundred eighty-three million, nine hundred twenty-four thousand".