480154954600 has 192 divisors, whose sum is σ = 1218116232000. Its totient is φ = 175321036800.

The previous prime is 480154954541. The next prime is 480154954621. The reversal of 480154954600 is 6459451084.

It is a happy number.

It is a super-2 number, since 2×480154954600² (a number of 24 digits) contains 22 as substring.

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, 57410019 + ... + 57418381.

It is an arithmetic number, because the mean of its divisors is an integer number (6344355375).

Almost surely, 2^480154954600 is an apocalyptic number.

480154954600 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 480154954600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609058116000).

480154954600 is an abundant number, since it is smaller than the sum of its proper divisors (737961277400).

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

480154954600 is a wasteful number, since it uses less digits than its factorization.

480154954600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 480154954600 in words is "four hundred eighty billion, one hundred fifty-four million, nine hundred fifty-four thousand, six hundred".