462400424 has 8 divisors (see below), whose sum is σ = 867000810. Its totient is φ = 231200208.

The previous prime is 462400409. The next prime is 462400427. The reversal of 462400424 is 424004264.

It can be written as a sum of positive squares in only one way, i.e., 306600100 + 155800324 = 17510^2 + 12482^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 462400393 and 462400402.

It is not an unprimeable number, because it can be changed into a prime (462400427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28900019 + ... + 28900034.

Almost surely, 2^462400424 is an apocalyptic number.

It is an amenable number.

462400424 is a deficient number, since it is larger than the sum of its proper divisors (404600386).

462400424 is a wasteful number, since it uses less digits than its factorization.

462400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57800059 (or 57800055 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 462400424 is about 21503.4979480084. The cubic root of 462400424 is about 773.2846829944.

Adding to 462400424 its reverse (424004264), we get a palindrome (886404688).

The spelling of 462400424 in words is "four hundred sixty-two million, four hundred thousand, four hundred twenty-four".