467249362720 has 384 divisors, whose sum is σ = 1325201472000. Its totient is φ = 155525529600.

The previous prime is 467249362711. The next prime is 467249362721. The reversal of 467249362720 is 27263942764.

It is a super-2 number, since 2×467249362720² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (467249362721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632272111 + ... + 632272849.

It is an arithmetic number, because the mean of its divisors is an integer number (3451045500).

Almost surely, 2^467249362720 is an apocalyptic number.

467249362720 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 467249362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662600736000).

467249362720 is an abundant number, since it is smaller than the sum of its proper divisors (857952109280).

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

467249362720 is a wasteful number, since it uses less digits than its factorization.

467249362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 467249362720 in words is "four hundred sixty-seven billion, two hundred forty-nine million, three hundred sixty-two thousand, seven hundred twenty".