83458480 has 40 divisors (see below), whose sum is σ = 221762592. Its totient is φ = 28614144.

The previous prime is 83458477. The next prime is 83458481. The reversal of 83458480 is 8485438.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (83458481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73957 + ... + 75076.

Almost surely, 2^83458480 is an apocalyptic number.

83458480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83458480 is an abundant number, since it is smaller than the sum of its proper divisors (138304112).

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

83458480 is a wasteful number, since it uses less digits than its factorization.

83458480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149053 (or 149047 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 83458480 is about 9135.5612854384. The cubic root of 83458480 is about 437.0087743719.

It can be divided in two parts, 83458 and 480, that added together give a palindrome (83938).

The spelling of 83458480 in words is "eighty-three million, four hundred fifty-eight thousand, four hundred eighty".