467370120 has 256 divisors, whose sum is σ = 1771683840. Its totient is φ = 96104448.

The previous prime is 467370107. The next prime is 467370131. The reversal of 467370120 is 21073764.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327729 + ... + 329151.

It is an arithmetic number, because the mean of its divisors is an integer number (6920640).

Almost surely, 2^467370120 is an apocalyptic number.

467370120 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 467370120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885841920).

467370120 is an abundant number, since it is smaller than the sum of its proper divisors (1304313720).

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

467370120 is a wasteful number, since it uses less digits than its factorization.

467370120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 467370120 is about 21618.7446444052. The cubic root of 467370120 is about 776.0451358945.

The spelling of 467370120 in words is "four hundred sixty-seven million, three hundred seventy thousand, one hundred twenty".