463126040 has 64 divisors (see below), whose sum is σ = 1152567360. Its totient is φ = 166371840.

The previous prime is 463126021. The next prime is 463126049. The reversal of 463126040 is 40621364.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463126049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7205 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (18008865).

Almost surely, 2^463126040 is an apocalyptic number.

463126040 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 463126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576283680).

463126040 is an abundant number, since it is smaller than the sum of its proper divisors (689441320).

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

463126040 is a wasteful number, since it uses less digits than its factorization.

463126040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24132 (or 24128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 463126040 is about 21520.3633798317. The cubic root of 463126040 is about 773.6889606589.

The spelling of 463126040 in words is "four hundred sixty-three million, one hundred twenty-six thousand, forty".