56401434 has 40 divisors (see below), whose sum is σ = 128785140. Its totient is φ = 18442944.

The previous prime is 56401409. The next prime is 56401439. The reversal of 56401434 is 43410465.

56401434 is a `hidden beast` number, since 5 + 640 + 14 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49914225 + 6487209 = 7065^2 + 2547^2 .

It is a super-2 number, since 2×56401434² = 6362243514512712, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56401398 and 56401407.

It is not an unprimeable number, because it can be changed into a prime (56401439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5302 + ... + 11870.

Almost surely, 2^56401434 is an apocalyptic number.

56401434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56401434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64392570).

56401434 is an abundant number, since it is smaller than the sum of its proper divisors (72383706).

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

56401434 is a wasteful number, since it uses less digits than its factorization.

56401434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56401434 is about 7510.0888143883. The cubic root of 56401434 is about 383.4982460354.

Adding to 56401434 its reverse (43410465), we get a palindrome (99811899).

The spelling of 56401434 in words is "fifty-six million, four hundred one thousand, four hundred thirty-four".