463940400 has 240 divisors, whose sum is σ = 1853238528. Its totient is φ = 96384000.

The previous prime is 463940381. The next prime is 463940401. The reversal of 463940400 is 4049364.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (463940401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89890 + ... + 94910.

Almost surely, 2^463940400 is an apocalyptic number.

463940400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926619264).

463940400 is an abundant number, since it is smaller than the sum of its proper divisors (1389298128).

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

463940400 is a wasteful number, since it uses less digits than its factorization.

463940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 463940400 is about 21539.2757538409. The cubic root of 463940400 is about 774.1421795442.

Adding to 463940400 its reverse (4049364), we get a palindrome (467989764).

The spelling of 463940400 in words is "four hundred sixty-three million, nine hundred forty thousand, four hundred".