464461200 has 270 divisors, whose sum is σ = 1875674034. Its totient is φ = 106122240.

The previous prime is 464461183. The next prime is 464461201. The reversal of 464461200 is 2164464.

464461200 is a `hidden beast` number, since 4 + 6 + 44 + 612 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2039184 + 462422016 = 1428^2 + 21504^2 .

It is a super-4 number, since 4×464461200⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (464461201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 175084 + ... + 177716.

Almost surely, 2^464461200 is an apocalyptic number.

464461200 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 464461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937837017).

464461200 is an abundant number, since it is smaller than the sum of its proper divisors (1411212834).

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

464461200 is a wasteful number, since it uses less digits than its factorization.

464461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 464461200 is about 21551.3619059214. The cubic root of 464461200 is about 774.4317443815.

The spelling of 464461200 in words is "four hundred sixty-four million, four hundred sixty-one thousand, two hundred".