480492000 has 240 divisors, whose sum is σ = 1764754992. Its totient is φ = 128044800.

The previous prime is 480491993. The next prime is 480492037. The reversal of 480492000 is 294084.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 323259 + ... + 324741.

Almost surely, 2^480492000 is an apocalyptic number.

480492000 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 480492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882377496).

480492000 is an abundant number, since it is smaller than the sum of its proper divisors (1284262992).

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

480492000 is a wasteful number, since it uses less digits than its factorization.

480492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480492000 is about 21920.1277368541. The cubic root of 480492000 is about 783.2409528400.

The spelling of 480492000 in words is "four hundred eighty million, four hundred ninety-two thousand".