480753000 has 384 divisors, whose sum is σ = 2003339520. Its totient is φ = 101260800.

The previous prime is 480752977. The next prime is 480753023. The reversal of 480753000 is 357084.

It is an interprime number because it is at equal distance from previous prime (480752977) and next prime (480753023).

It is a super-3 number, since 3×480753000³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818707 + ... + 819293.

It is an arithmetic number, because the mean of its divisors is an integer number (5217030).

Almost surely, 2^480753000 is an apocalyptic number.

480753000 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 480753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

480753000 is an abundant number, since it is smaller than the sum of its proper divisors (1522586520).

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

480753000 is a wasteful number, since it uses less digits than its factorization.

480753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 480753000 is about 21926.0803610677. The cubic root of 480753000 is about 783.3827442299.

The spelling of 480753000 in words is "four hundred eighty million, seven hundred fifty-three thousand".