464400310606720 has 128 divisors (see below), whose sum is σ = 1168867926633600. Its totient is φ = 175948792842240.

The previous prime is 464400310606693. The next prime is 464400310606721. The reversal of 464400310606720 is 27606013004464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×464400310606720³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464400310606721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58362055 + ... + 65840185.

It is an arithmetic number, because the mean of its divisors is an integer number (9131780676825).

Almost surely, 2^{464400310606720} is an apocalyptic number.

464400310606720 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 464400310606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584433963316800).

464400310606720 is an abundant number, since it is smaller than the sum of its proper divisors (704467616026880).

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

464400310606720 is a wasteful number, since it uses less digits than its factorization.

464400310606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483276 (or 7483264 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 464400310606720 in words is "four hundred sixty-four trillion, four hundred billion, three hundred ten million, six hundred six thousand, seven hundred twenty".