42462420 has 288 divisors, whose sum is σ = 164094336. Its totient is φ = 8064000.

The previous prime is 42462403. The next prime is 42462451. The reversal of 42462420 is 2426424.

42462420 = 64² + 65² + ... + 503².

It is a super-2 number, since 2×42462420² = 3606114224512800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420370 + ... + 420470.

It is an arithmetic number, because the mean of its divisors is an integer number (569772).

Almost surely, 2^42462420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82047168).

42462420 is an abundant number, since it is smaller than the sum of its proper divisors (121631916).

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

42462420 is a wasteful number, since it uses less digits than its factorization.

42462420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42462420 is about 6516.3195133449. The cubic root of 42462420 is about 348.8737128704.

Adding to 42462420 its reverse (2426424), we get a palindrome (44888844).

It can be divided in two parts, 4246 and 2420, that added together give a palindrome (6666).

The spelling of 42462420 in words is "forty-two million, four hundred sixty-two thousand, four hundred twenty".