1335452040 has 192 divisors, whose sum is σ = 4744958400. Its totient is φ = 323744256.

The previous prime is 1335452039. The next prime is 1335452057. The reversal of 1335452040 is 402545331.

1335452040 is a `hidden beast` number, since 133 + 5 + 4 + 520 + 4 + 0 = 666.

It is a super-2 number, since 2×1335452040² = 3566864302280323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1335451995 and 1335452013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311431 + ... + 315689.

It is an arithmetic number, because the mean of its divisors is an integer number (24713325).

Almost surely, 2^1335452040 is an apocalyptic number.

1335452040 is a gapful number since it is divisible by the number (10) 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 1335452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372479200).

1335452040 is an abundant number, since it is smaller than the sum of its proper divisors (3409506360).

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

1335452040 is a wasteful number, since it uses less digits than its factorization.

1335452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1335452040 is about 36543.8372369405. The cubic root of 1335452040 is about 1101.2250923834.

Adding to 1335452040 its reverse (402545331), we get a palindrome (1737997371).

The spelling of 1335452040 in words is "one billion, three hundred thirty-five million, four hundred fifty-two thousand, forty".