402629472 has 216 divisors, whose sum is σ = 1349698896. Its totient is φ = 113508864.

The previous prime is 402629453. The next prime is 402629473. The reversal of 402629472 is 274926204.

It is a super-2 number, since 2×402629472² = 324220983445997568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402629473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1453398 + ... + 1453674.

It is an arithmetic number, because the mean of its divisors is an integer number (6248606).

Almost surely, 2^402629472 is an apocalyptic number.

402629472 is a gapful number since it is divisible by the number (42) 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 402629472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674849448).

402629472 is an abundant number, since it is smaller than the sum of its proper divisors (947069424).

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

402629472 is a wasteful number, since it uses less digits than its factorization.

402629472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 402629472 is about 20065.6291204637. The cubic root of 402629472 is about 738.4172844474.

The spelling of 402629472 in words is "four hundred two million, six hundred twenty-nine thousand, four hundred seventy-two".