400433634 has 96 divisors (see below), whose sum is σ = 958583808. Its totient is φ = 120384000.

The previous prime is 400433633. The next prime is 400433639. The reversal of 400433634 is 436334004.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 400433598 and 400433607.

It is not an unprimeable number, because it can be changed into a prime (400433633) 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, 525814 + ... + 526574.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^400433634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400433634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

400433634 is an abundant number, since it is smaller than the sum of its proper divisors (558150174).

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

400433634 is a wasteful number, since it uses less digits than its factorization.

400433634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 400433634 is about 20010.8379134908. The cubic root of 400433634 is about 737.0724571246.

Adding to 400433634 its reverse (436334004), we get a palindrome (836767638).

The spelling of 400433634 in words is "four hundred million, four hundred thirty-three thousand, six hundred thirty-four".