402534000 has 480 divisors, whose sum is σ = 1629538560. Its totient is φ = 91584000.

The previous prime is 402533987. The next prime is 402534091. The reversal of 402534000 is 435204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3761947 + ... + 3762053.

It is an arithmetic number, because the mean of its divisors is an integer number (3394872).

Almost surely, 2^402534000 is an apocalyptic number.

402534000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

402534000 is the 10032-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

402534000 is an abundant number, since it is smaller than the sum of its proper divisors (1227004560).

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

402534000 is a wasteful number, since it uses less digits than its factorization.

402534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 402534000 is about 20063.2499859818. The cubic root of 402534000 is about 738.3589150260.

Adding to 402534000 its reverse (435204), we get a palindrome (402969204).

It can be divided in two parts, 40253 and 4000, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 402534000 in words is "four hundred two million, five hundred thirty-four thousand".