467388720 has 60 divisors (see below), whose sum is σ = 1569649536. Its totient is φ = 124636800.

The previous prime is 467388709. The next prime is 467388721. The reversal of 467388720 is 27883764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (467388721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323856 + ... + 325295.

Almost surely, 2^467388720 is an apocalyptic number.

467388720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467388720 is an abundant number, since it is smaller than the sum of its proper divisors (1102260816).

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

467388720 is a wasteful number, since it uses less digits than its factorization.

467388720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649170 (or 649161 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 467388720 is about 21619.1748223654. The cubic root of 467388720 is about 776.0554305535.

The spelling of 467388720 in words is "four hundred sixty-seven million, three hundred eighty-eight thousand, seven hundred twenty".