464600551140 has 384 divisors, whose sum is σ = 1669160908800. Its totient is φ = 106215943680.

The previous prime is 464600551139. The next prime is 464600551159. The reversal of 464600551140 is 41155006464.

464600551140 is a `hidden beast` number, since 4 + 6 + 4 + 60 + 0 + 551 + 1 + 40 = 666.

464600551140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464600551095 and 464600551104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7375819 + ... + 7438541.

It is an arithmetic number, because the mean of its divisors is an integer number (4346773200).

Almost surely, 2^464600551140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464600551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834580454400).

464600551140 is an abundant number, since it is smaller than the sum of its proper divisors (1204560357660).

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

464600551140 is a wasteful number, since it uses less digits than its factorization.

464600551140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62824 (or 62816 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 464600551140 in words is "four hundred sixty-four billion, six hundred million, five hundred fifty-one thousand, one hundred forty".