642414300 has 72 divisors (see below), whose sum is σ = 2027703552. Its totient is φ = 155736000.

The previous prime is 642414299. The next prime is 642414307. The reversal of 642414300 is 3414246.

It is a super-2 number, since 2×642414300² = 825392265688980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642414307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94036 + ... + 100635.

Almost surely, 2^642414300 is an apocalyptic number.

642414300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642414300 is an abundant number, since it is smaller than the sum of its proper divisors (1385289252).

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

642414300 is a wasteful number, since it uses less digits than its factorization.

642414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194699 (or 194692 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 642414300 is about 25345.8931584586. The cubic root of 642414300 is about 862.8561520108.

Adding to 642414300 its reverse (3414246), we get a palindrome (645828546).

The spelling of 642414300 in words is "six hundred forty-two million, four hundred fourteen thousand, three hundred".