463401432 has 128 divisors (see below), whose sum is σ = 1394265600. Its totient is φ = 141761664.

The previous prime is 463401427. The next prime is 463401461. The reversal of 463401432 is 234104364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 463401396 and 463401405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637053 + ... + 637779.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2^463401432 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 463401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

463401432 is an abundant number, since it is smaller than the sum of its proper divisors (930864168).

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

463401432 is a wasteful number, since it uses less digits than its factorization.

463401432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 463401432 is about 21526.7608339016. The cubic root of 463401432 is about 773.8422850337.

Adding to 463401432 its reverse (234104364), we get a palindrome (697505796).

The spelling of 463401432 in words is "four hundred sixty-three million, four hundred one thousand, four hundred thirty-two".