1238354040 has 256 divisors, whose sum is σ = 4833976320. Its totient is φ = 246090240.

The previous prime is 1238354021. The next prime is 1238354071. The reversal of 1238354040 is 404538321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1238353989 and 1238354007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209607 + ... + 215433.

It is an arithmetic number, because the mean of its divisors is an integer number (18882720).

Almost surely, 2^1238354040 is an apocalyptic number.

1238354040 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 1238354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416988160).

1238354040 is an abundant number, since it is smaller than the sum of its proper divisors (3595622280).

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

1238354040 is a wasteful number, since it uses less digits than its factorization.

1238354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1238354040 is about 35190.2549010376. The cubic root of 1238354040 is about 1073.8615067857.

The spelling of 1238354040 in words is "one billion, two hundred thirty-eight million, three hundred fifty-four thousand, forty".