400110480 has 360 divisors, whose sum is σ = 1706837184. Its totient is φ = 83059200.

The previous prime is 400110467. The next prime is 400110481. The reversal of 400110480 is 84011004.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400110481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387565 + ... + 388595.

Almost surely, 2^400110480 is an apocalyptic number.

400110480 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 400110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853418592).

400110480 is an abundant number, since it is smaller than the sum of its proper divisors (1306726704).

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

400110480 is a wasteful number, since it uses less digits than its factorization.

400110480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 400110480 is about 20002.7618093102. The cubic root of 400110480 is about 736.8741287837.

Adding to 400110480 its reverse (84011004), we get a palindrome (484121484).

The spelling of 400110480 in words is "four hundred million, one hundred ten thousand, four hundred eighty".