480732197400 has 1344 divisors, whose sum is σ = 2172198470400. Its totient is φ = 96040442880.

The previous prime is 480732197389. The next prime is 480732197423. The reversal of 480732197400 is 4791237084.

It is a super-3 number, since 3×480732197400³ (a number of 36 digits) contains 333 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 252087247 + ... + 252089153.

It is an arithmetic number, because the mean of its divisors is an integer number (1616219100).

Almost surely, 2^480732197400 is an apocalyptic number.

480732197400 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 480732197400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086099235200).

480732197400 is an abundant number, since it is smaller than the sum of its proper divisors (1691466273000).

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

480732197400 is a wasteful number, since it uses less digits than its factorization.

480732197400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 480732197400 in words is "four hundred eighty billion, seven hundred thirty-two million, one hundred ninety-seven thousand, four hundred".