400033530 has 96 divisors (see below), whose sum is σ = 1126878480. Its totient is φ = 97873920.

The previous prime is 400033499. The next prime is 400033537. The reversal of 400033530 is 35330004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11431161 + 388602369 = 3381^2 + 19713^2 .

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 (400033537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210826 + ... + 212714.

Almost surely, 2^400033530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400033530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563439240).

400033530 is an abundant number, since it is smaller than the sum of its proper divisors (726844950).

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

400033530 is a wasteful number, since it uses less digits than its factorization.

400033530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 400033530 is about 20000.8382324342. The cubic root of 400033530 is about 736.8268867489.

Adding to 400033530 its reverse (35330004), we get a palindrome (435363534).

The spelling of 400033530 in words is "four hundred million, thirty-three thousand, five hundred thirty".