400217280 has 112 divisors (see below), whose sum is σ = 1275368544. Its totient is φ = 106332160.

The previous prime is 400217269. The next prime is 400217291. The reversal of 400217280 is 82712004.

It is an interprime number because it is at equal distance from previous prime (400217269) and next prime (400217291).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400217280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338290 + ... + 339470.

Almost surely, 2^400217280 is an apocalyptic number.

400217280 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 400217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637684272).

400217280 is an abundant number, since it is smaller than the sum of its proper divisors (875151264).

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

400217280 is a wasteful number, since it uses less digits than its factorization.

400217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 400217280 is about 20005.4312625347. The cubic root of 400217280 is about 736.9396866397.

Adding to 400217280 its reverse (82712004), we get a palindrome (482929284).

The spelling of 400217280 in words is "four hundred million, two hundred seventeen thousand, two hundred eighty".