464402678400 has 480 divisors, whose sum is σ = 1788281748000. Its totient is φ = 118454814720.

The previous prime is 464402678393. The next prime is 464402678401. The reversal of 464402678400 is 4876204464.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×464402678400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (464402678401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5922651 + ... + 6000549.

It is an arithmetic number, because the mean of its divisors is an integer number (3725586975).

Almost surely, 2^464402678400 is an apocalyptic number.

464402678400 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 464402678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894140874000).

464402678400 is an abundant number, since it is smaller than the sum of its proper divisors (1323879069600).

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

464402678400 is a wasteful number, since it uses less digits than its factorization.

464402678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77958 (or 77932 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 464402678400 in words is "four hundred sixty-four billion, four hundred two million, six hundred seventy-eight thousand, four hundred".