467439840 has 288 divisors, whose sum is σ = 1849236480. Its totient is φ = 105311232.

The previous prime is 467439823. The next prime is 467439857. The reversal of 467439840 is 48934764.

It is an interprime number because it is at equal distance from previous prime (467439823) and next prime (467439857).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796027 + ... + 796613.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^467439840 is an apocalyptic number.

467439840 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 467439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

467439840 is an abundant number, since it is smaller than the sum of its proper divisors (1381796640).

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

467439840 is a wasteful number, since it uses less digits than its factorization.

467439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 467439840 is about 21620.3570738321. The cubic root of 467439840 is about 776.0837228547.

The spelling of 467439840 in words is "four hundred sixty-seven million, four hundred thirty-nine thousand, eight hundred forty".