400003380 has 384 divisors, whose sum is σ = 1524096000. Its totient is φ = 85155840.

The previous prime is 400003367. The next prime is 400003381. The reversal of 400003380 is 83300004.

It is a super-2 number, since 2×400003380² = 320005408022848800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400003381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4494376 + ... + 4494464.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^400003380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400003380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

400003380 is an abundant number, since it is smaller than the sum of its proper divisors (1124092620).

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

400003380 is a wasteful number, since it uses less digits than its factorization.

400003380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400003380 is about 20000.0844998215. The cubic root of 400003380 is about 736.8083750600.

Adding to 400003380 its reverse (83300004), we get a palindrome (483303384).

The spelling of 400003380 in words is "four hundred million, three thousand, three hundred eighty".