420433040 has 40 divisors (see below), whose sum is σ = 992109120. Its totient is φ = 165661056.

The previous prime is 420433037. The next prime is 420433049. The reversal of 420433040 is 40334024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×420433040² = 353527882247283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420433049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33860 + ... + 44579.

It is an arithmetic number, because the mean of its divisors is an integer number (24802728).

Almost surely, 2^420433040 is an apocalyptic number.

420433040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420433040 is an abundant number, since it is smaller than the sum of its proper divisors (571676080).

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

420433040 is a wasteful number, since it uses less digits than its factorization.

420433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78519 (or 78513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 420433040 is about 20504.4639042331. The cubic root of 420433040 is about 749.1445297838.

Adding to 420433040 its reverse (40334024), we get a palindrome (460767064).

The spelling of 420433040 in words is "four hundred twenty million, four hundred thirty-three thousand, forty".