467428500 has 576 divisors, whose sum is σ = 1962455040. Its totient is φ = 90720000.

The previous prime is 467428487. The next prime is 467428529. The reversal of 467428500 is 5824764.

It is a super-2 number, since 2×467428500² = 436978805224500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6583465 + ... + 6583535.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2^467428500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981227520).

467428500 is an abundant number, since it is smaller than the sum of its proper divisors (1495026540).

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

467428500 is a wasteful number, since it uses less digits than its factorization.

467428500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 467428500 is about 21620.0948194035. The cubic root of 467428500 is about 776.0774469237.

The spelling of 467428500 in words is "four hundred sixty-seven million, four hundred twenty-eight thousand, five hundred".