464220979200 has 1296 divisors, whose sum is σ = 1916798004576. Its totient is φ = 110415052800.

The previous prime is 464220979193. The next prime is 464220979241. The reversal of 464220979200 is 2979022464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×464220979200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8758886374 + ... + 8758886426.

It is an arithmetic number, because the mean of its divisors is an integer number (1479010806).

Almost surely, 2^464220979200 is an apocalyptic number.

464220979200 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 464220979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958399002288).

464220979200 is an abundant number, since it is smaller than the sum of its proper divisors (1452577025376).

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

464220979200 is an frugal number, since it uses more digits than its factorization.

464220979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 464220979200 in words is "four hundred sixty-four billion, two hundred twenty million, nine hundred seventy-nine thousand, two hundred".