467213040 has 720 divisors, whose sum is σ = 2083929120. Its totient is φ = 92897280.

The previous prime is 467212981. The next prime is 467213063. The reversal of 467213040 is 40312764.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 467212995 and 467213013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11395420 + ... + 11395460.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^467213040 is an apocalyptic number.

467213040 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 467213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

467213040 is an abundant number, since it is smaller than the sum of its proper divisors (1616716080).

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

467213040 is a wasteful number, since it uses less digits than its factorization.

467213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 467213040 is about 21615.1113806985. Note that the first 3 decimals coincide. The cubic root of 467213040 is about 775.9581849435.

The spelling of 467213040 in words is "four hundred sixty-seven million, two hundred thirteen thousand, forty".