155409408 has 352 divisors, whose sum is σ = 581675520. Its totient is φ = 39813120.

The previous prime is 155409403. The next prime is 155409437. The reversal of 155409408 is 804904551.

It is a tau number, because it is divible by the number of its divisors (352).

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 (155409403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128860 + ... + 2128932.

Almost surely, 2^155409408 is an apocalyptic number.

155409408 is a gapful number since it is divisible by the number (18) 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 155409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290837760).

155409408 is an abundant number, since it is smaller than the sum of its proper divisors (426266112).

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

155409408 is a wasteful number, since it uses less digits than its factorization.

155409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 155409408 is about 12466.3309758726. The cubic root of 155409408 is about 537.6410682912.

The spelling of 155409408 in words is "one hundred fifty-five million, four hundred nine thousand, four hundred eight".