100440480 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 22692864.

The previous prime is 100440421. The next prime is 100440497. The reversal of 100440480 is 84044001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561031 + ... + 561209.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^100440480 is an apocalyptic number.

100440480 is a gapful number since it is divisible by the number (10) 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 100440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

100440480 is an abundant number, since it is smaller than the sum of its proper divisors (265342560).

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

100440480 is a wasteful number, since it uses less digits than its factorization.

100440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 100440480 is about 10021.9998004390. Note that the first 3 decimals coincide. The cubic root of 100440480 is about 464.8393941823.

Adding to 100440480 its reverse (84044001), we get a palindrome (184484481).

The spelling of 100440480 in words is "one hundred million, four hundred forty thousand, four hundred eighty".