467263080 has 160 divisors (see below), whose sum is σ = 1625005800. Its totient is φ = 120282624.

The previous prime is 467263079. The next prime is 467263081. The reversal of 467263080 is 80362764.

It is an interprime number because it is at equal distance from previous prime (467263079) and next prime (467263081).

It can be written as a sum of positive squares in 4 ways, for example, as 404251236 + 63011844 = 20106^2 + 7938^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (467263081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91474 + ... + 96446.

Almost surely, 2^467263080 is an apocalyptic number.

467263080 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 467263080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812502900).

467263080 is an abundant number, since it is smaller than the sum of its proper divisors (1157742720).

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

467263080 is a wasteful number, since it uses less digits than its factorization.

467263080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 467263080 is about 21616.2688732353. The cubic root of 467263080 is about 775.9858864830.

The spelling of 467263080 in words is "four hundred sixty-seven million, two hundred sixty-three thousand, eighty".