467856340 has 192 divisors, whose sum is σ = 1248952320. Its totient is φ = 143700480.

The previous prime is 467856313. The next prime is 467856353. The reversal of 467856340 is 43658764.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4292206 + ... + 4292314.

It is an arithmetic number, because the mean of its divisors is an integer number (6504960).

Almost surely, 2^467856340 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 467856340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624476160).

467856340 is an abundant number, since it is smaller than the sum of its proper divisors (781095980).

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

467856340 is a wasteful number, since it uses less digits than its factorization.

467856340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 467856340 is about 21629.9870550123. The cubic root of 467856340 is about 776.3141574375.

The spelling of 467856340 in words is "four hundred sixty-seven million, eight hundred fifty-six thousand, three hundred forty".