400207968 has 72 divisors (see below), whose sum is σ = 1140696648. Its totient is φ = 133097472.

The previous prime is 400207967. The next prime is 400207979. The reversal of 400207968 is 869702004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400207967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149296 + ... + 151952.

It is an arithmetic number, because the mean of its divisors is an integer number (15843009).

Almost surely, 2^400207968 is an apocalyptic number.

400207968 is a gapful number since it is divisible by the number (48) 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 400207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570348324).

400207968 is an abundant number, since it is smaller than the sum of its proper divisors (740488680).

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

400207968 is a wasteful number, since it uses less digits than its factorization.

400207968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 400207968 is about 20005.1985243836. The cubic root of 400207968 is about 736.9339710481.

The spelling of 400207968 in words is "four hundred million, two hundred seven thousand, nine hundred sixty-eight".