467245200 has 120 divisors (see below), whose sum is σ = 1502019936. Its totient is φ = 124160000.

The previous prime is 467245171. The next prime is 467245211. The reversal of 467245200 is 2542764.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480715 + ... + 481685.

Almost surely, 2^467245200 is an apocalyptic number.

467245200 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 467245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751009968).

467245200 is an abundant number, since it is smaller than the sum of its proper divisors (1034774736).

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

467245200 is a wasteful number, since it uses less digits than its factorization.

467245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 467245200 is about 21615.8552918916. The cubic root of 467245200 is about 775.9759885581.

Adding to 467245200 its reverse (2542764), we get a palindrome (469787964).

The spelling of 467245200 in words is "four hundred sixty-seven million, two hundred forty-five thousand, two hundred".