400153110 has 96 divisors (see below), whose sum is σ = 1176042240. Its totient is φ = 86643648.

The previous prime is 400153109. The next prime is 400153111. The reversal of 400153110 is 11351004.

It is an interprime number because it is at equal distance from previous prime (400153109) and next prime (400153111).

It is a super-2 number, since 2×400153110² = 320245022885344200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400153110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400153111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20767 + ... + 35093.

It is an arithmetic number, because the mean of its divisors is an integer number (12250440).

Almost surely, 2^400153110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400153110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588021120).

400153110 is an abundant number, since it is smaller than the sum of its proper divisors (775889130).

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

400153110 is a wasteful number, since it uses less digits than its factorization.

400153110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370 (or 14363 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 400153110 is about 20003.8273837783. The cubic root of 400153110 is about 736.9002980795.

The spelling of 400153110 in words is "four hundred million, one hundred fifty-three thousand, one hundred ten".