33253440 has 224 divisors, whose sum is σ = 119384064. Its totient is φ = 7772160.

The previous prime is 33253427. The next prime is 33253453. The reversal of 33253440 is 4435233.

It is an interprime number because it is at equal distance from previous prime (33253427) and next prime (33253453).

It is a super-2 number, since 2×33253440² = 2211582543667200, which contains 22 as substring.

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 33253440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496287 + ... + 496353.

Almost surely, 2^33253440 is an apocalyptic number.

33253440 is a gapful number since it is divisible by the number (30) 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 33253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59692032).

33253440 is an abundant number, since it is smaller than the sum of its proper divisors (86130624).

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

33253440 is a wasteful number, since it uses less digits than its factorization.

33253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 33253440 is about 5766.5795754503. The cubic root of 33253440 is about 321.5724686216.

Adding to 33253440 its reverse (4435233), we get a palindrome (37688673).

The spelling of 33253440 in words is "thirty-three million, two hundred fifty-three thousand, four hundred forty".