465198552 has 400 divisors, whose sum is σ = 1708161840. Its totient is φ = 117355392.

The previous prime is 465198551. The next prime is 465198571. The reversal of 465198552 is 255891564.

465198552 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 98 + 552 = 666.

Its product of digits (432000) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 465198498 and 465198507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465198551) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 20226013 + ... + 20226035.

Almost surely, 2^465198552 is an apocalyptic number.

465198552 is a gapful number since it is divisible by the number (42) 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 465198552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854080920).

465198552 is an abundant number, since it is smaller than the sum of its proper divisors (1242963288).

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

465198552 is a wasteful number, since it uses less digits than its factorization.

465198552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 465198552 is about 21568.4619757645. The cubic root of 465198552 is about 774.8413422010.

The spelling of 465198552 in words is "four hundred sixty-five million, one hundred ninety-eight thousand, five hundred fifty-two".