400867488 has 192 divisors, whose sum is σ = 1354752000. Its totient is φ = 112948992.

The previous prime is 400867487. The next prime is 400867513. The reversal of 400867488 is 884768004.

It is not an unprimeable number, because it can be changed into a prime (400867487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477373 + ... + 478211.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^400867488 is an apocalyptic number.

400867488 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 400867488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

400867488 is an abundant number, since it is smaller than the sum of its proper divisors (953884512).

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

400867488 is a wasteful number, since it uses less digits than its factorization.

400867488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 400867488 is about 20021.6754543669. The cubic root of 400867488 is about 737.3385573269.

It can be divided in two parts, 40086 and 7488, that added together give a palindrome (47574).

The spelling of 400867488 in words is "four hundred million, eight hundred sixty-seven thousand, four hundred eighty-eight".