23406480 has 240 divisors, whose sum is σ = 87048000. Its totient is φ = 5612544.

The previous prime is 23406473. The next prime is 23406511. The reversal of 23406480 is 8460432.

23406480 = T₁₂₅₆ + T₁₂₅₇ + ... + T₁₂₈₄.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×23406480³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396691 + ... + 396749.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

Almost surely, 2^23406480 is an apocalyptic number.

23406480 is a gapful number since it is divisible by the number (20) 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 23406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524000).

23406480 is an abundant number, since it is smaller than the sum of its proper divisors (63641520).

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

23406480 is a wasteful number, since it uses less digits than its factorization.

23406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23406480 is about 4838.0243901824. The cubic root of 23406480 is about 286.0522505478.

The spelling of 23406480 in words is "twenty-three million, four hundred six thousand, four hundred eighty".