30153240 has 192 divisors, whose sum is σ = 112039200. Its totient is φ = 6967296.

The previous prime is 30153199. The next prime is 30153241. The reversal of 30153240 is 4235103.

30153240 = 574² + 575² + ... + 653².

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 (30153241) 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, 79371 + ... + 79749.

Almost surely, 2^30153240 is an apocalyptic number.

30153240 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 30153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019600).

30153240 is an abundant number, since it is smaller than the sum of its proper divisors (81885960).

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

30153240 is a wasteful number, since it uses less digits than its factorization.

30153240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30153240 is about 5491.1965909080. The cubic root of 30153240 is about 311.2514104547.

Adding to 30153240 its reverse (4235103), we get a palindrome (34388343).

The spelling of 30153240 in words is "thirty million, one hundred fifty-three thousand, two hundred forty".