467028962400 has 1152 divisors, whose sum is σ = 2107257126912. Its totient is φ = 86676480000.

The previous prime is 467028962399. The next prime is 467028962429. The reversal of 467028962400 is 4269820764.

It is a super-2 number, since 2×467028962400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 467028962400.

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, 74471265 + ... + 74477535.

It is an arithmetic number, because the mean of its divisors is an integer number (1829216256).

Almost surely, 2^467028962400 is an apocalyptic number.

467028962400 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 467028962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053628563456).

467028962400 is an abundant number, since it is smaller than the sum of its proper divisors (1640228164512).

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

467028962400 is a wasteful number, since it uses less digits than its factorization.

467028962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 467028962400 in words is "four hundred sixty-seven billion, twenty-eight million, nine hundred sixty-two thousand, four hundred".